Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as _· 30.

Step-by-step explanation:

Here you mean :

So we can simplify this expression and we have :

We need to find common factor :

So we have :

Now, we need to think how can write 5^n on different way. Maybe to try add 1 and subtract 1 from exponent :