Prove that f(n) = can be computed using the recursive function for all integers

ID: 1887072 • Letter: P

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Prove that f(n) = can be computed using the recursive function for all integers n 1

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f(n) = f(n-1) + n and n>=1 f(1) = 1 as give in question let n = 5 f(5) = f(4) + 5 f(4) = f(3) + 4 so f(5) = f(3) + 4 + 5 f(3) = f(2) + 3 so f(5) = f(2) + 3 + 4 + 5 f(2) =f(1) + 2 so f(5) = f(1) + 2 + 3 + 4 + 5 as we know from question f(1) = 1 so f(5) = 1 + 2 + 3 + 4 + 5 so for n is a natural number f(n) is sum of all previous natural number till n so we can calculate ir as we calculate the function of factorial f(n) = f(n-1) *n so for sum our function will b f(n) = f(n-1) +n

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Prove that f(n) = can be computed using the recursive function for all integers

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