Find the sum of the first four terms in the sequence 0, 1, 4, 9, 16.

If the first term of an arithmetic sequence is 30 and the fourth term is 18, what is the third term?

Find the 1000^th term in the arithmetic sequence 3, 5, 7,…

In a pile of books, each layer contains one more than the layer above and the topmost layer contains just one book. If there are 171 books in the pile, how many layers are there?

What is the general rule of the arithmetic sequence 5, 6, 7, 8, …?

Find the 10^th term of the arithmetic sequence if the first term is 5 and the second term is 8.

Insert an arithmetic mean between 5 and 8.

Insert two arithmetic means between 5 and 20.

Find the sum of the positive even integers less than 100.

Find the sum of the first 21 terms of the arithmetic sequence 60, 54, 48, …

Find the sum of all multiples of 4 between 6 and 50.

A sequence whose terms, except the first, are obtained by multiplying the preceding term by a constant term.

Write the first three terms of a geometric sequence if the first term is 5 and the common ratio is 3.

Find the 6^th term of the geometric sequence 24, 16, 32/3, …

What is the common ratio of the sequence 54, 18, 6, …

Find the 7^th term of the geometric sequence whose first term is ¾ and the fourth term is 6.

Insert two geometric means between 1 and 216.

Insert 3 geometric means between 18 and 32/9.

Insert a geometric mean between -45 and -5.

Find the sum of the first 8 terms of the geometric sequence 2, 8, 32, …

Find the sum of the first seven terms of the geometric sequence 108, -36, 12, -4,…