Section 12.3

Geometric Sequences;

Geometric Series

OBJECTIVE 1

Geometric Sequence

Show that the sequence is geometric. List the first term and the common ratio.

(a) 2, 8, 32, 128, . . .

1(b) 3nns

(c) 3 2n

nt

OBJECTIVE 2

(a) Find the ninth term of the geometric sequence:4 8

3, 2, , , . . .3 9

(b) Find the ninth term of this sequence.

(c) Find a recursive formula for this sequence.

OBJECTIVE 3

Find the sum of the first terms of the sequence 3 .nn

Use a graphing utility to find the sum of the

1first 15 terms of the sequence

5

n

OBJECTIVE 4