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Curriculum-aligned learning paths for students in Classes 6-12.

CBSE
Class 9
Mathematics
Ganita Manjari
Predicting What Comes Next: Ex...
Question Bank

Question Bank - Predicting Wha...

Practice Hub

Question Bank: Predicting What Comes Next: Exploring Sequences and Progression

Structured practice

Question Bank - Predicting What Comes Next: Exploring Sequences and Progression

Q1.

What is the next number in the sequence: 1, 2, 3, 4, 5, ...?

Single Answer MCQ
Q-00169085
View explanation
Q2.

What is the 5th term of the sequence of square numbers?

Single Answer MCQ
Q-00169087
View explanation
Q3.

Which of these describes the sequence: 1, 3, 5, 7, 9, ...?

Single Answer MCQ
Q-00169089
View explanation
Q4.

What comes next in the sequence of triangular numbers: 1, 3, 6, 10, ...?

Single Answer MCQ
Q-00169091
View explanation
Q5.

What is the common difference in the sequence of odd numbers?

Single Answer MCQ
Q-00169093
View explanation
Q6.

Identify the pattern in the sequence: 2, 4, 8, 16, ...

Single Answer MCQ
Q-00169095
View explanation
Q7.

Which number is the 4th term of the sequence of even numbers?

Single Answer MCQ
Q-00169097
View explanation
Q8.

If a sequence starts 5, 10, 15, ..., what is the pattern?

Single Answer MCQ
Q-00169099
View explanation
Q9.

What is true about the sequence of triangular numbers?: 1, 3, 6, 10, ...

Single Answer MCQ
Q-00169101
View explanation
Q10.

The difference between the 3rd and 4th square numbers in the sequence is:

Single Answer MCQ
Q-00169103
View explanation
Q11.

If a pattern is defined by the formula an = 2n + 1, what is the 4th term?

Single Answer MCQ
Q-00169104
View explanation
Q12.

What is the next term in the sequence: 1, 1, 2, 3, 5, ...?

Single Answer MCQ
Q-00169105
View explanation
Q13.

What comes next in the sequence of square numbers after 25?

Single Answer MCQ
Q-00169106
View explanation
Q14.

In a sequence where each term is twice the previous one, starting from 1, what is the 5th term?

Single Answer MCQ
Q-00169107
View explanation
Q15.

If the sum of the first n natural numbers is given as n(n + 1)/2, what is the sum for n=5?

Single Answer MCQ
Q-00169108
View explanation
Q16.

Determine the 6th term in the sequence defined by 3, 6, 12, 24, ...

Single Answer MCQ
Q-00169109
View explanation
Q17.

What is the first term of the sequence defined by the recursive rule t_n = t_{n-1} + 5 with t_1 = 2?

Single Answer MCQ
Q-00169137
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Q18.

What is the explicit formula for the nth term of the sequence 1, 4, 7, 10, 13?

Single Answer MCQ
Q-00169138
View explanation
Q19.

If the recursive formula is s_n = s_{n-1} + 4, with s_1 = 3, what is s_4?

Single Answer MCQ
Q-00169139
View explanation
Q20.

If the explicit formula for a sequence is t_n = 5n - 4, what is the value of t_4?

Single Answer MCQ
Q-00169140
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Q21.

Which of the following is the general form of a recursive formula for the sequence 1, 2, 4, 8, ...?

Single Answer MCQ
Q-00169141
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Q22.

The nth term of a sequence is defined as t_n = 2n + 3. What is the value of n when t_n equals 13?

Single Answer MCQ
Q-00169142
View explanation
Q23.

Given the recursive rule u_n = 2u_{n-1} + 1 with u_1 = 1, what is u_3?

Single Answer MCQ
Q-00169143
View explanation
Q24.

Consider the sequence defined by t_n = 4n - 1. What is the 10th term of this sequence?

Single Answer MCQ
Q-00169144
View explanation
Q25.

If V_n = V_{n-1} + V_{n-2} is the recursive definition of a sequence, what is V_4 with V_1 = 1, V_2 = 1?

Single Answer MCQ
Q-00169145
View explanation
Q26.

In the sequence defined by t_n = 6n + 1, what is the value of t_6?

Single Answer MCQ
Q-00169146
View explanation
Q27.

What is the fifth term of the sequence defined by the recursive rule t_n = 2t_{n-1} + 3 with t_1 = 1?

Single Answer MCQ
Q-00169147
View explanation
Q28.

Which expression defines the nth term of the sequence where terms are increasing by 10 starting from 5?

Single Answer MCQ
Q-00169148
View explanation
Q29.

Using the recursive formula m_n = m_{n-1} + 3m_{n-2} with m_1 = 1 and m_2 = 2, what is m_5?

Single Answer MCQ
Q-00169149
View explanation
Q30.

If the sequence is defined by t_n = 2^n, what is the 5th term?

Single Answer MCQ
Q-00169150
View explanation
Q31.

What term in the sequence defined by t_n = 4n - 5 is equal to 11?

Single Answer MCQ
Q-00169152
View explanation
Q32.

In the sequence represented by t_n = 3n - 1, what is t_7?

Single Answer MCQ
Q-00169151
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Q33.

Consider the sequence defined by t_n = n^2 + n. What is the value of t_3?

Single Answer MCQ
Q-00169153
View explanation
Q34.

How can you express t_n for the sequence defined by t_n = 2t_{n-1} - 1 with t_1 = 3?

Single Answer MCQ
Q-00169154
View explanation
Q35.

In a sequence defined as A_n = 3A_{n-1} + 1, with A_1 = 1, what is A_4?

Single Answer MCQ
Q-00169155
View explanation
Q36.

For the explicit rule t_n = 100 - 5n, what value of n gives t_n = 75?

Single Answer MCQ
Q-00169156
View explanation
Q37.

Which of the following positions would yield the term 25 in the sequence defined by t_n = 5n - 10?

Single Answer MCQ
Q-00169157
View explanation
Q38.

What is the first term of the sequence defined by t_n = 8n - 3?

Single Answer MCQ
Q-00169158
View explanation
Q39.

In the recursive formula B_n = B_{n-1}^2 where B_1 = 2, what is B_4?

Single Answer MCQ
Q-00169159
View explanation
Q40.

If the sequence is defined by t_n = 1/n, what is the term t_4?

Single Answer MCQ
Q-00169160
View explanation
Q41.

Which of the following correctly describes the sequence where each term is the sum of the previous two terms starting with 1 and 1?

Single Answer MCQ
Q-00169161
View explanation
Q42.

In the sequence defined as t_n = n^3, what is the value of t_2?

Single Answer MCQ
Q-00169162
View explanation
Q43.

What is the fourth term of the sequence defined by the recursive relation C_n = C_{n-1} + C_{n-2} with C_1 = 2, C_2 = 3?

Single Answer MCQ
Q-00169163
View explanation
Q44.

What value of n will make t_n = 5n + 1 equal to 26?

Single Answer MCQ
Q-00169164
View explanation
Q45.

The nth term of a sequence is given by t_n = 4n + 2. What is t_5?

Single Answer MCQ
Q-00169165
View explanation
Q46.

If the sequence is generated by t_n = 2n^2 + 3n, what is the 4th term?

Single Answer MCQ
Q-00169166
View explanation
Q47.

What is the first term of the geometric progression defined by t_n = 5 × 3^(n-1)?

Single Answer MCQ
Q-00169167
View explanation
Q48.

If the common ratio of a geometric progression is 4 and the first term is 2, what is the fourth term?

Single Answer MCQ
Q-00169168
View explanation
Q49.

In the GP defined by 3, 6, 12, 24, what is the value of the common ratio?

Single Answer MCQ
Q-00169169
View explanation
Q50.

What is the formula for the sum of the first n natural numbers?

Single Answer MCQ
Q-00169170
View explanation
Q51.

If the third term of a geometric progression is 27 and the common ratio is 3, what is the first term?

Single Answer MCQ
Q-00169171
View explanation
Q52.

Calculate the sum of the first 10 natural numbers.

Single Answer MCQ
Q-00169172
View explanation
Q53.

The sequence 2, 8, 32 follows which characteristic of a geometric progression?

Single Answer MCQ
Q-00169173
View explanation
Q54.

If n = 20, what is the value of S_n?

Single Answer MCQ
Q-00169174
View explanation
Q55.

What is the nth term of a geometric progression with a = 3 and r = 0.5?

Single Answer MCQ
Q-00169175
View explanation
Q56.

Which of the following best describes the structure of natural number sums?

Single Answer MCQ
Q-00169176
View explanation
Q57.

If the first term of a GP is 1 and the common ratio is -2, what is the fifth term?

Single Answer MCQ
Q-00169177
View explanation
Q58.

What is the sum of the first 15 natural numbers?

Single Answer MCQ
Q-00169178
View explanation
Q59.

Which of the following is a characteristic of a geometric progression?

Single Answer MCQ
Q-00169179
View explanation
Q60.

If the sum of the first n natural numbers is 4950, what is the value of n?

Single Answer MCQ
Q-00169180
View explanation
Q61.

Which sequence cannot be classified as a geometric progression? 1, 3, 9, 27 or 2, 4, 8, 16?

Single Answer MCQ
Q-00169181
View explanation
Q62.

How can you find the sum of consecutive numbers from 5 to 10?

Single Answer MCQ
Q-00169182
View explanation
Q63.

The 7th term of a geometric sequence is 256 and the first term is 4. What is the common ratio?

Single Answer MCQ
Q-00169183
View explanation
Q64.

What is S_0 based on the formula S_n = n(n + 1)/2?

Single Answer MCQ
Q-00169184
View explanation
Q65.

Given the GP where t_1 = 10 and t_4 = 80, what is the common ratio?

Single Answer MCQ
Q-00169185
View explanation
Q66.

What is the smallest integer n such that S_n > 1000?

Single Answer MCQ
Q-00169186
View explanation
Q67.

What will be the sum of the first five terms of the GP: 1, 3, 9, 27, ...?

Single Answer MCQ
Q-00169187
View explanation
Q68.

Using the formula, estimate the sum from 1 to 100.

Single Answer MCQ
Q-00169188
View explanation
Q69.

The expression t_n = 3 × 2^(n-1) represents which sequence?

Single Answer MCQ
Q-00169189
View explanation
Q70.

What is the sum of the first 100 natural numbers divided by 10?

Single Answer MCQ
Q-00169190
View explanation
Q71.

Determine the sum of natural numbers from 10 to 20 using the sum formula.

Single Answer MCQ
Q-00169191
View explanation
Q72.

Which of the following adds incorrectly to the sum of first n natural numbers formula?

Single Answer MCQ
Q-00169192
View explanation
Q73.

What is the common difference in the arithmetic progression 3, 7, 11, 15?

Single Answer MCQ
Q-00169198
View explanation
Q74.

What is the 10th term of the arithmetic progression where the first term is 2 and the common difference is 5?

Single Answer MCQ
Q-00169200
View explanation
Q75.

Which of the following sequences is an arithmetic progression?

Single Answer MCQ
Q-00169202
View explanation
Q76.

If the first term of an arithmetic progression is 8 and the common difference is 3, what is the 7th term?

Single Answer MCQ
Q-00169204
View explanation
Q77.

Identify the first term of the AP defined by the formula tn = 10 + (n - 1) × 3.

Single Answer MCQ
Q-00169206
View explanation
Q78.

In the arithmetic progression 4, 10, 16, what is the sum of the first three terms?

Single Answer MCQ
Q-00169208
View explanation
Q79.

What is the 5th term of the sequence 5, 8, 11, ...?

Single Answer MCQ
Q-00169210
View explanation
Q80.

If an arithmetic progression has a first term of -3 and a common difference of 6, which term is equal to 21?

Single Answer MCQ
Q-00169212
View explanation
Q81.

Find the 12th term of the arithmetic progression where t1 = 2 and d = 7.

Single Answer MCQ
Q-00169214
View explanation
Q82.

In an arithmetic progression, if the 3rd term is 11 and the 7th term is 23, what is the common difference?

Single Answer MCQ
Q-00169216
View explanation
Q83.

Which of the following statements is true about any arithmetic progression?

Single Answer MCQ
Q-00169217
View explanation
Q84.

In the sequence defined by tn = 3 + (n - 1) × 5, what is t8?

Single Answer MCQ
Q-00169218
View explanation
Q85.

An AP has first term 1 and last term 41 with a total of 8 terms. What is the common difference?

Single Answer MCQ
Q-00169219
View explanation
Q86.

Given the sequence defined as 10, 14, 18, ..., identify the 20th term.

Single Answer MCQ
Q-00169220
View explanation
Q87.

What sum do you obtain if you sum the first 10 terms of the AP 2, 5, 8, ...?

Single Answer MCQ
Q-00169221
View explanation
Q88.

If the 15th term of an AP is 30 and the common difference is 3, what is the first term?

Single Answer MCQ
Q-00169222
View explanation
Q89.

What is the 100th term of an AP where the first term is 4 and the common difference is -1?

Single Answer MCQ
Q-00169223
View explanation
Q90.

An arithmetic progression with a first term 10 and a common difference of -2 has what 8th term?

Single Answer MCQ
Q-00169224
View explanation
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