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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
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