SOLUTION: Proove that: 5^n+5^(n+1)+5^(n+2) we can split with 31

Question 1096150: Proove that:
5^n+5^(n+1)+5^(n+2) we can split with 31
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Prove that:
5^n+5^(n+1)+5^(n+2) we can split with 31
If you mean divisible by 31:
=============
5^n+5^(n+1)+5^(n+2)
n = 0 --> 1 + 5 + 25 = 31
------
Other values of n, n>0, are 5^n times 5^n+5^(n+1)+5^(n+2) = 31*some number.
QED

RELATED QUESTIONS
n!/(n-1)!=5 (answered by jim_thompson5910,stanbon)

Mathematical induction How can we prove that : (1 + 1 / 3) (1 + 5 / 4)(1 + 7 /... (answered by ikleyn)

proove that the n th term of an AP can not be n^2 + 1. justify your... (answered by richard1234)

which is greater? (n+2)(n+1)(n)(n-1)(n-2) or... (answered by Alan3354)

n/8 = 5 1/5 we need to find... (answered by Alan3354)

n+5(n-1)=7 (answered by jim_thompson5910)

{{{ (8*n^2-1)(3*n^2-4*n+5)... (answered by kingme18)

proove that the n th term of an AP can not be n square 1. justify your... (answered by richard1234)

Dear math teacher, Would you please explain why n cannot equal -4 and 5 as a solution (answered by solver91311)