Sequences Quick Check

Front

What do arithmetic sequences involve?

Back

Addition and subtraction.

Front

What do geometric sequences involve?

Back

Multiplication and division.

Front

An arithmetic sequence is a sequence with a common _________.

Back

Difference.

Front

A geometric sequence is a sequence with a common _________.

Back

Ratio.

Front

Find the common ratio for the geometric sequence: 2, 4, 8, 16.

Back

2.

Front

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

Back

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

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

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

Back

14.

Front

If the first term of a geometric sequence is 3 and the common ratio is 2, what is the 5th term?

Back

48.

Front

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

Back

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