use mathematical induction to prove the follwoing:?

Question

3+3.5+3.5 squared+...+3.5 to the power of n= 3(5-1) to the power of n+1/ 4, whenever n is a non-negative integer.

Answer 1

Lulu, this is the result:
3 + 3*5 + 3*5^2 + ... + 3*5^n = 3*[5^(n+1) - 1]/4 .
Now go ahead and do the induction.