Help me to solve Five Questions of Discrete Math

Five Questions of Discrete Math

help me to solve this

(1)

Show that the sequence *a0, a1, a2*, … for all integers *n *³ 0

*an* = 3.2*n* – 2.3*n*

(2)

Satisfies the recurrence relation

*ak* = 5*ak-1* – 6*ak-2* for all integers *k *³ 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.**