Adaptive Practice

Sequences

10 questions • Earn up to 107 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
What is the next term in the arithmetic sequence 3, 7, 11, 15, ...?
Easy
Find the 10th term of the arithmetic sequence: 5, 9, 13, 17, ...
Easy
Which of the following sequences is geometric?
Medium
If the 5th term of an arithmetic sequence is 20 and the 8th term is 32, find the first term.
Medium
Find the sum of the first 15 terms of the arithmetic sequence 2, 5, 8, 11, ...
Hard
The 3rd term of a geometric sequence is 24 and the 6th term is 192. Find the first term.
Easy
Find the 7th term of the geometric sequence where the first term is 3 and the common ratio is 2.
Hard
If the sum of the first n terms of an arithmetic sequence is given by S_n = 3n^2 + 5n, find the 10th term.
Medium
A sequence is defined by the recurrence relation: a_1 = 2, a_{n} = 3a_{n-1} + 1. Find a_3.
Hard
The sum of the first n terms of a geometric sequence is S_n = 81(1 - (1/3)^n). Find the first term.

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