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Class 10
Mathematics
Mathematics
Arithmetic Progressions

Question Bank

AP

Question Bank: Arithmetic Progressions

A chapter that explores sequences where each term after the first is obtained by adding a constant difference, focusing on their properties, nth term, and sum formulas.

Question Bank - Arithmetic Progressions

View all (55)
Q1.

What is an arithmetic progression (AP) and how is it defined?

Single Answer MCQ
Q-00001220
Q2.

Define the common difference in an arithmetic progression.

Single Answer MCQ
Q-00001221
Q3.

Find the first negative term in the AP: 121, 117, 113, ...

Single Answer MCQ
Q-00001222
Q4.

If the sum of the third and seventh terms of an AP is 6 and their product is 8, find the sum of the first sixteen terms.

Single Answer MCQ
Q-00001223
Q5.

In a ladder with rungs 25 cm apart, the rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. Calculate the length of wood required for the rungs.

Single Answer MCQ
Q-00001224
Q6.

What is an arithmetic progression (AP) and how is it defined?

Single Answer MCQ
Q-00002208
Q7.

Define the common difference in an arithmetic progression.

Single Answer MCQ
Q-00002209
Q8.

How can you determine if a given list of numbers is an AP?

Single Answer MCQ
Q-00002210
Q9.

What is the formula for finding the nth term of an AP?

Single Answer MCQ
Q-00002211
Q10.

Explain the formula for finding the sum of the first n terms of an AP.

Single Answer MCQ
Q-00002212
Q11.

How can you find the sum of all terms of a finite AP?

Single Answer MCQ
Q-00002213
Q12.

Define the arithmetic mean of two numbers in an AP.

Single Answer MCQ
Q-00002214
Q13.

Find the first negative term in the AP: 121, 117, 113, ...

Single Answer MCQ
Q-00002215
Q14.

If the sum of the third and seventh terms of an AP is 6 and their product is 8, find the sum of the first sixteen terms.

Single Answer MCQ
Q-00002216
Q15.

Calculate the length of wood required for the rungs of a ladder with rungs decreasing uniformly in length.

Single Answer MCQ
Q-00002217
Q16.

Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it.

Single Answer MCQ
Q-00002218
Q17.

Calculate the total volume of concrete required to build a terrace with 15 steps, each 50m long.

Single Answer MCQ
Q-00002219
Q18.

Find the missing term in the AP: 3, 7, 11, ...

Single Answer MCQ
Q-00002220
Q19.

If the 10th term of an AP is 30 and the 15th term is 45, find the common difference.

Single Answer MCQ
Q-00002221
Q20.

Determine the sum of the first 20 terms of the AP: 2, 5, 8, ...

Single Answer MCQ
Q-00002222
Q21.

Find the 25th term of the AP: 1, 4, 7, ...

Single Answer MCQ
Q-00002223
Q22.

If the sum of the first n terms of an AP is 100 and the common difference is 3, find n.

Single Answer MCQ
Q-00002224
Q23.

Calculate the sum of the first 30 terms of the AP: 10, 13, 16, ...

Single Answer MCQ
Q-00002225
Q24.

Find the common difference in the AP: 6, 12, 18, ...

Single Answer MCQ
Q-00002226
Q25.

Determine the nth term of the AP: 2, 6, 10, ...

Single Answer MCQ
Q-00002227
Q26.

If the sum of the first 15 terms of an AP is 120 and the common difference is 4, find the first term.

Single Answer MCQ
Q-00002228
Q27.

Find the sum of the first 25 terms of the AP: 1, 3, 5, ...

Single Answer MCQ
Q-00002229
Q28.

Calculate the 20th term of the AP: 12, 16, 20, ...

Single Answer MCQ
Q-00002230
Q29.

If the sum of the first 12 terms of an AP is 78 and the common difference is 2, find the last term.

Single Answer MCQ
Q-00002231
Q30.

Determine the sum of the first 50 terms of the AP: 3, 6, 9, ...

Single Answer MCQ
Q-00002232
Q31.

What is an arithmetic progression (AP) and how is it defined?

Single Answer MCQ
Q-00002610
Q32.

Define the common difference in an arithmetic progression.

Single Answer MCQ
Q-00002611
Q33.

How can you determine if a given list of numbers is an AP?

Single Answer MCQ
Q-00002612
Q34.

What is the formula for finding the nth term of an AP?

Single Answer MCQ
Q-00002613
Q35.

Explain the formula for finding the sum of the first n terms of an AP.

Single Answer MCQ
Q-00002614
Q36.

How can you find the sum of all terms of a finite AP?

Single Answer MCQ
Q-00002615
Q37.

Define the arithmetic mean of two numbers in an AP.

Single Answer MCQ
Q-00002616
Q38.

Find the first negative term in the AP: 121, 117, 113, ...

Single Answer MCQ
Q-00002617
Q39.

If the sum of the third and seventh terms of an AP is 6 and their product is 8, find the sum of the first sixteen terms.

Single Answer MCQ
Q-00002618
Q40.

Calculate the length of wood required for the rungs of a ladder with rungs decreasing uniformly in length.

Single Answer MCQ
Q-00002619
Q41.

Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it.

Single Answer MCQ
Q-00002620
Q42.

Calculate the total volume of concrete required to build a terrace with 15 steps, each 50m long.

Single Answer MCQ
Q-00002621
Q43.

Find the missing term in the AP: 3, 6, 9, _, 15.

Single Answer MCQ
Q-00002622
Q44.

If the 10th term of an AP is 30 and the 15th term is 45, find the common difference.

Single Answer MCQ
Q-00002623
Q45.

Determine the sum of the first 20 terms of the AP: 2, 5, 8, ...

Single Answer MCQ
Q-00002624
Q46.

Find the 25th term of the AP: 4, 7, 10, ...

Single Answer MCQ
Q-00002625
Q47.

If the sum of the first n terms of an AP is 100 and the common difference is 3, find n.

Single Answer MCQ
Q-00002626
Q48.

Calculate the sum of the first 30 terms of the AP: 1, 4, 7, ...

Single Answer MCQ
Q-00002627
Q49.

Find the common difference in the AP: 12, 9, 6, 3, ...

Single Answer MCQ
Q-00002628
Q50.

Determine the nth term of the AP: 1, 4, 7, 10, ...

Single Answer MCQ
Q-00002629
Q51.

If the 5th term of an AP is 17 and the 8th term is 23, find the first term.

Single Answer MCQ
Q-00002630
Q52.

Calculate the sum of the first 50 terms of the AP: 3, 6, 9, ...

Single Answer MCQ
Q-00002631
Q53.

Find the 12th term of the AP: 2, 5, 8, ...

Single Answer MCQ
Q-00002632
Q54.

If the sum of the first 15 terms of an AP is 120 and the common difference is 4, find the first term.

Single Answer MCQ
Q-00002633
Q55.

Determine the sum of the first 25 terms of the AP: 5, 10, 15, ...

Single Answer MCQ
Q-00002634

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