Sequences

What is the 5th term of the arithmetic sequence 3, 7, 11, 15, ...?

Find the sum of the first 10 terms of the arithmetic sequence 2, 5, 8, 11, ...

If the 3rd term of a geometric sequence is 24 and the 6th term is 192, what is the common ratio?

In the arithmetic sequence where the 7th term is 20 and the 12th term is 35, find the first term.

Find the sum of the first n terms of the geometric series 3 + 6 + 12 + ...

The 10th term of an arithmetic progression is 50 and the sum of the first 10 terms is 275. Find the first term.

If the sum of the first n terms of a sequence is given by S_n = 3n^2 + 2n, find the 5th term.

The 4th term of a geometric progression is 54 and the 7th term is 432. Find the first term.

Find the 12th term of the arithmetic sequence where the sum of the first 12 terms is 78 and the first term is 2.

The sum of the first n terms of a geometric series is given by S_n = 5(1 - 3^n)/(-2). Find the first term and common ratio.