Find the missing terms in the geometric sequence 32, __, 72, __, 162

Maverick Avery

Maverick Avery

Answered question

2022-10-13

Find the missing terms in the geometric sequence 32, __, 72, __, 162

Answer & Explanation

blackcat1314xb

blackcat1314xb

Beginner2022-10-14Added 19 answers

In a geometric series, we go from one term to another by multiplying by some number r. So if we call our first missing term x, we know the following:
32 r = x
x r = 72
substitute to find the following...
32 r r = 72

r 2 = 72 32
r 2 = 9 4
r = 3 2

now we can find the two missing terms...
32 3 2 = 48
72 3 2 = 108

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