1. ## Exponent question help please

For what integral values of n is the expression (*-means to the)))

( 1*n+ 2*n +3*n +4*n ) divisible by 5

thanks so much for the help

i think it must be a multiple by three but i dont know how to prove it

2. I'm not sure I understand your post.

Is this what you mean?

For what value of $n$ is this expression divisible by $5$?

$1^n + 2^n + 3^n + 4^n$

Note that $1 + 2 + 3 + 4 = 10$, which is divisible by $5$.

So, for what value of n are $1^n$, $2^n$, $3^n$, and $4^n$ equal to $1$, $2$, $3$ and $4$, respectively?

The answer to this is of course $1$. If you take anything to the power of $1$, it will be equal to itself.

If you need to find all values of $n$ for which this expression is divisible by $5$, note that every odd integer $n$ gives a number that is divisible by $5$.