Question

If n=2 then 2n+1=______.​

Answer 1

Step-by-step explanation:

This question can be solved by method of induction

Assume n!>2

n−1

to prove n+1!>2

n

so we need to find the lowest natural number which satisfies our assumption that is 3

as 3!>2

3−1

as 6>4

hence n>2 and n natural number now we need to solve it by induction

to prove n+1!>2

n

we know n!>2

n−1

multiplying n+1 on both sides we get n+1!>2

n−1

(n+1)

n>2 hence n+1>3

which also implies n+1>2

hence n+1!>2

n

hence n!>2

n−1

proved by induction where n∈N and n>2

n is a natural number is missing in the option

hence D

Answer 2

Answer:

5_____________

2(2)+1=?

4+1=?

5=?

5