Use mathematical induction to prove that for each integer n ≥ 4, 5^n ≥ 2 2^n+1 + 100

The given Statement which we have to prove using mathematical induction is

for , n≥4.

⇒For, n=4

LHS

 LHS >RHS

Hence this statement is true for, n=4.

⇒Suppose this statement is true for, n=k.

                      -------------------------------------------(1)

Now, we will prove that , this statement is true for, n=k+1.

LHS

Hence this Statement is true for , n=k+1, whenever it is true for, n=k.

Hence Proved.

the answer is c)8

step-by-step explanaction:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a