4 years ago

Find the 15th term of the geometric sequence 9, 18, 36,...

Mathematics

1 answer:

KonstantinChe [14]4 years ago

5 0

Answer:

147,456‬

Step-by-step explanation:

Geometric sequence: 9, 18, 36

Common ratio = r = 18/9 = 2

First term : a_1 = 9

Nth term : a_n = a_1 * r^(n - 1)

a_n = 9 * (2)^(n -1)

We want a_15, the 15th term

a_15 = 9*2^(15 -1)

a_15 = 9*2^14 = 9*16,384 = 147,456‬

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Find the 15th term of the geometric sequence 9, 18, 36,...​

Find the 15th term of the geometric sequence 9, 18, 36,...