What is the recursive formula of the pattern 0, 1, 8, 27,

Answer ;   where n is a positive integer.explanationnote that the terms are successive cubes: 0³ = 0, 1³ = 1, 2³ = 8, 3³ = 27. we need to represent this in a recursive formula.the first term is 0, so we define f(1) (1 for first term) as 0the second term in the pattern is 1. to get from 0 to 1, we can take the cube root of 0, add 1, and then cube it again. this gets us [  ∛(0) + 1 ]³ = 1.the third term in the pattern is 8. to get from the previous term of 1 to the next term 8 recursively, we can take the cube root of 1, add 1, and then cube it again. this gets us  [  ∛(1) + 1 ]³ = 8.the fourth term in the pattern is 27. to get from the previous term of 8 to the next term 27 recursively, we can take the cube root of 8, add 1, and then cube it again. this gets us  [  ∛(8) + 1 ]³ = [  2 + 1 ]³  = 3³ = 27in general, to get the nth term f(n), we take the cube root of the previous term, f(n-1), add 1 to it, and then cube it all again.therefore the recursive formula can be defined as ;   where n is a positive integer.

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