Sequences Quick Check

Front

What do arithmetic sequences involve?

Back

Addition and subtraction.

Tags

CCSS.HSF.BF.A.2

Front

What do geometric sequences involve?

Back

Multiplication and division.

Tags

CCSS.HSF.BF.A.2

Front

An arithmetic sequence is a sequence with a common _________.

Back

Difference.

Tags

CCSS.HSF.BF.A.2

Front

A geometric sequence is a sequence with a common _________.

Back

Ratio.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

2.

Tags

CCSS.HSF.BF.A.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.

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

14.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

48.

Tags

CCSS.HSF.BF.A.2

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.