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

If f(1)=8 f(1)=8 and f(n+1)=−5f(n)−3 f(n+1)=-5 f(n)-3 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)−3 f(n+1)=-5 f(n)-3 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)−3f(n+1) = -5f(n) - 3, we can find f(2)f(2) by substituting n=1n = 1.\newlineCalculation: f(2)=−5f(1)−3=−5(8)−3=−40−3=−43f(2) = -5f(1) - 3 = -5(8) - 3 = -40 - 3 = -43
  2. Calculate f(2)f(2): Now that we have f(2)=−43f(2) = -43, we can find f(3)f(3) by substituting n=2n = 2 into the recursive formula.\newlineCalculation: f(3)=−5f(2)−3=−5(−43)−3=215−3=212f(3) = -5f(2) - 3 = -5(-43) - 3 = 215 - 3 = 212

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