Explicit formula for ann3SolutionWe have given an n3 a1 1 3

Explicit formula for an=n^3

Solution

We have given,

an = n^3

a1= (1)^ 3 = 1 for n= 1

a2 = (2)^3 = 8 for n= 2

a3 = (3)^3 = 27 for n= 3

a4 = (4)^3 = 64 for n= 4

a5 = (5)^3 = 125 for n= 5

Hence we have the sequence for an= n^3 is given by

1, 8, 27, 64, 125,........................