Prove 5^n+5 < 5^(n+1) for al n elements of N
So i started this by using induction and used n=1 for my base case which i got 10<25 which is true. Then i assumed that 5^k+5<5(k+1) for all k elements of N and computed:
soo i tried to split the right side to (5^k)x(5^2) then i got stuck
Can anyone please help me ?