brittanymo2000 brittanymo2000
  • 26-03-2021
  • Mathematics
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What would be the first five terms of sequence whose first term is 1 and has a common ratio of 1/3?

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altavistard
altavistard altavistard
  • 26-03-2021

Answer:

Step-by-step explanation:

This is a geometric sequence; we know that because of the words "common ratio."  The general formula for a geometric sequence is

a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, a(1) = 1, r = 1/3, and so

a(1) = 1 (given)

a(2) = 1/3 (this is a(1) multiplied by 1/3)

a(3) = 1/9 (this is a(2) multiplied by 1/3)

a(4) = 1/27

a(5) = 1/81

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