almaca90 almaca90
  • 23-10-2020
  • Mathematics
contestada

What is the 3rd term in this recursive rule sequence: f(1) = 30 and f(n) = f(n-1) - 12

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tspid6099
tspid6099 tspid6099
  • 23-10-2020

Answer:

n = 1

f(1) = 2

f(n) = 2 f(n-1) + 1

n = 2

f(2) = 2 f(2 - 1) + 1 = 2 f(1) + 1 = 2 ∙ 2 + 1 = 4 + 1 = 5

n = 3

f(3) = 2 f(3 - 1) + 1 = 2 f(2) + 1 = 2 ∙ 5 + 1 = 10 + 1 = 11

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