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.

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

first one because it can't have a fraction in it

step-by-step explanation: