alianet200 alianet200
  • 25-06-2022
  • Mathematics
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Complete the recursive formula of the geometric sequence 56, -28, 14, -7,....

Complete the recursive formula of the geometric sequence 56 28 14 7 class=

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TalShmueli
TalShmueli TalShmueli
  • 25-06-2022

Step-by-step explanation:

each term in the sequence is half of the value of the previous term, and in the opposite sign.

therfore, the quotient between terms is (-2)

so, to get one term from the previous term, we multiply by 1/(-2), so:

d(n) = d(n-1) × 1/(-2)

the first term is 56 so d(1)=56

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