Sequences Quick Check

Front

A geometric sequence is a sequence with a common _________.

Back

ratio

Front

An arithmetic sequence is a sequence with a common _________.

Back

difference

Front

Find the common ratio for the geometric sequence: 2, 6, 18, ...

Back

3

Front

Geometric sequences involve _________.

Back

multiplication and division

Front

The next term of the geometric sequence 4, 16, 64, ... is _________.

Back

256

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1) where a_1 is the first term and r is the common ratio.

Front

What is the common difference in the arithmetic sequence: 5, 8, 11, ...?

Back

3

Front

In a geometric sequence, if the first term is 3 and the common ratio is 2, what is the 4th term?

Back

24

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (a_1 + a_n) where a_1 is the first term and a_n is the nth term.

Front

Identify the type of sequence: 10, 20, 40, 80, ...

Back

Geometric sequence