Sequences Review

Front

What is a recursive formula?

Back

A recursive formula defines each term of a sequence using the previous term(s).

Front

Given the recursive formula a_n = a_{n-1} + 5 and a_1 = -16, what are the first four terms?

Back

-16, -11, -6, -1

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term is multiplied to get the next term.

Front

Find the common ratio of the sequence: 4, -16, 64, -256.

Back

r = -4

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39.

Back

49, 59, 69

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

Determine whether the sequence 2, 4, 8, 16 is arithmetic, geometric, or neither.

Back

geometric

Front

Determine whether the sequence -4, 1, 6, 11 is arithmetic, geometric, or neither.

Back

arithmetic

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where d is the common difference.