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If f(1)=8 and f(n+1)=-5f(n)-1 then find the value of f(3) Answer:

If f(1)=8 f(1)=8 and f(n+1)=−5f(n)−1 f(n+1)=-5 f(n)-1 then find the value of f(3) f(3) \newlineAnswer:

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Q. If f(1)=8 f(1)=8 and f(n+1)=−5f(n)−1 f(n+1)=-5 f(n)-1 then find the value of f(3) f(3) \newlineAnswer:
  1. Given f(1)f(1): We are given that f(1)=8f(1) = 8. We need to find f(3)f(3). According to the recursive formula f(n+1)=−5f(n)−1f(n+1) = -5f(n) - 1, we can find f(2)f(2) by substituting n=1n = 1.\newlineCalculation: f(2)=−5f(1)−1=−5(8)−1=−40−1=−41f(2) = -5f(1) - 1 = -5(8) - 1 = -40 - 1 = -41
  2. Calculate f(2)f(2): Now that we have f(2)=−41f(2) = -41, we can use the recursive formula again to find f(3)f(3) by substituting n=2n = 2.\newlineCalculation: f(3)=−5f(2)−1=−5(−41)−1=205−1=204f(3) = -5f(2) - 1 = -5(-41) - 1 = 205 - 1 = 204

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