Question 1

How do I find the nth term of a sequence?

Accepted Answer

Enter the first few terms of your sequence, separated by commas. We'll detect linear, quadratic, geometric or Fibonacci and show the steps.

Enter an nth term like 3n+2, 2n²+1, n²+3n, or 2^n. We'll show the sequence, find the 67th term, and check if 67 is in the sequence.

Question 2

How do I find the 67th term of a sequence?

Accepted Answer

If you have the nth term formula (e.g. 3n + 2), substitute n = 67 into the formula. For 3n + 2, the 67th term is 3 × 67 + 2 = 203. The nth term finder can do this for you and show the steps.

Question 3

How do I know if a number is in the sequence?

Accepted Answer

Set the nth term equal to the number and solve for n. If n is a positive integer, the number is in the sequence. For example, for 3n + 2 = 67, we get n = 65/3, which is not an integer, so 67 is not in the sequence 5, 8, 11, 14, ….

Question 4

A sequence starts at 10, the term to term rule is to subtract 3 then multiply by 2. How do I find the nth term?

Accepted Answer

Apply the term-to-term rule to get the first few terms: 10, then (10−3)×2 = 14, then (14−3)×2 = 22, then (22−3)×2 = 38, … So the sequence is 10, 14, 22, 38, …. Enter these numbers (comma-separated) into the nth term finder. The tool will detect the pattern and give you the nth term formula with step-by-step working.

Nth term finder & solver