Question Bank
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.
What is an arithmetic progression (AP) and how is it defined?
Define the common difference in an arithmetic progression.
Find the first negative term in the AP: 121, 117, 113, ...
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.
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.
How can you determine if a given list of numbers is an AP?
What is the formula for finding the nth term of an AP?
Explain the formula for finding the sum of the first n terms of an AP.
How can you find the sum of all terms of a finite AP?
Define the arithmetic mean of two numbers in an AP.
Calculate the length of wood required for the rungs of a ladder with rungs decreasing uniformly in length.
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.
Calculate the total volume of concrete required to build a terrace with 15 steps, each 50m long.
Find the missing term in the AP: 3, 7, 11, ...
If the 10th term of an AP is 30 and the 15th term is 45, find the common difference.
Determine the sum of the first 20 terms of the AP: 2, 5, 8, ...
Find the 25th term of the AP: 1, 4, 7, ...
If the sum of the first n terms of an AP is 100 and the common difference is 3, find n.
Calculate the sum of the first 30 terms of the AP: 10, 13, 16, ...
Find the common difference in the AP: 6, 12, 18, ...
Determine the nth term of the AP: 2, 6, 10, ...
If the sum of the first 15 terms of an AP is 120 and the common difference is 4, find the first term.
Find the sum of the first 25 terms of the AP: 1, 3, 5, ...
Calculate the 20th term of the AP: 12, 16, 20, ...
If the sum of the first 12 terms of an AP is 78 and the common difference is 2, find the last term.
Determine the sum of the first 50 terms of the AP: 3, 6, 9, ...
Find the missing term in the AP: 3, 6, 9, _, 15.
Find the 25th term of the AP: 4, 7, 10, ...
Calculate the sum of the first 30 terms of the AP: 1, 4, 7, ...
Find the common difference in the AP: 12, 9, 6, 3, ...
Determine the nth term of the AP: 1, 4, 7, 10, ...
If the 5th term of an AP is 17 and the 8th term is 23, find the first term.
Calculate the sum of the first 50 terms of the AP: 3, 6, 9, ...
Find the 12th term of the AP: 2, 5, 8, ...
Determine the sum of the first 25 terms of the AP: 5, 10, 15, ...
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