Practice Arithmetic Sequence in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A sequence where each term is obtained from the previous by adding a fixed constant called the common difference d.
Add the same number each time — 2, 5, 8, 11, ... (add 3 each step). This is constant-rate growth.
Example 1
easyAn arithmetic sequence has a_1 = 7 and d = -3. Find a_{20} and S_{20}.
Example 2
mediumIn an arithmetic sequence a_5 = 18 and a_{12} = 46. Find a_1 and d.
Example 3
easyFind the 15th term of 4, 9, 14, 19, \ldots
Example 4
mediumFind the sum of all integers from 1 to 100.
Example 5
mediumFind the sum of the first 20 terms of the arithmetic sequence: 5, 8, 11, 14, ...