Prove that the sum of two consecutive exponents of the number 5 is divisible by 30. if n is the smaller of two consecutive exponents, then the sum of two consecutive exponents of 5 is equal to · 30, and therefore is divisible by 30.

Every fourth student gets a tube of paint. Every seventh student gets a pack of crayons.

Now to know, which student is the first person to get both supplies, we will find the least common multiple or LCM of 4 and 7.

4 = 2 x 2

7 = 1 x 7

LCM = 2 x 2 x 7 = 28

So, we get that the 28th student is the first person to get both supplies.

And he will get 28/4 = 7th tube of paint and  28/7 = 4th pack of crayons.