Can someone please help me with these probability questions? Image attached. Beads in the Package
Blue: 5
Brown: 4
Green: 3
Orange: 5
Red: 4
Yellow: 4

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.

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).