Find the 14th term of the geometric sequence 3,6,12,24.

Question

Mathematics

Kaila Lowery

10 June, 21:45

Find the 14th term of the geometric sequence 3,6,12,24.

+3

Answers (1)

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Madden Liu · Answer 1

An=a1 (r) ^ (n-1)

a1=first term

r=common rati

common ratio is a term divded by previous term

6/3=2

r=2

first term is 3

an=3 (2) ^ (n-1)

14th term

a14=3 (2) ^ (14-1)

a14=3 (2) ^13

a14=3 (8192)

a14=24576

the 14th term is 24576