Adaptive Practice

Arithmetic Progressions

10 questions • Earn up to 110 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
What is the common difference of the arithmetic progression 5, 8, 11, 14, ...?
Easy
Find the 10th term of the AP: 2, 7, 12, 17, ...
Medium
The 5th term of an AP is 20 and the 12th term is 48. What is the first term?
Medium
Sum of first 15 terms of an AP is 345. If the first term is 7 and common difference is 3, find the 15th term.
Medium
If the 7th term of an AP is 34 and the 15th term is 58, find the sum of first 20 terms.
Easy
The sum of first n terms of an AP is given by S_n = 3n^2 + 2n. What is the first term?
Hard
If the sum of first 5 terms of an AP is 35 and the sum of first 10 terms is 110, find the common difference.
Medium
Find the number of terms in the AP 3, 7, 11, ... which are less than 83.
Hard
The 12th term of an AP is twice its 7th term. If the first term is 3, find the common difference.
Hard
Find the sum of all two-digit numbers divisible by 7.

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