Five Questions of Discrete Math

help me to solve this

(1)

Show that the sequencea0, a1, a2, … for all integersn³ 0

an= 3.2n– 2.3n

(2)

Satisfies the recurrence relation

ak= 5ak-1– 6ak-2for all integersk³ 2

(3)

Find the sum of first 100 terms of the given arithmetic sequence -17,-12,-7,-2, 3……

(4)

Find the nth term of the geometric series if

a=125/8 , r=2/5 , n=8

(5)

Whether or not the functions f(x) = x pwer3 and g(x) = x power 1/3 for all x E R

are inverse of one another. Justify your answer.