Question

the common difference of an A.P whose nth term an=4n+5 is ​

Answer 1

Answer:

The answer is AP is 4.......

Answer 2

The common difference of an A.P whose nth term $a_{n}$=4 n+5 is 4.

Step-by-step explanation:

Given:

A.P.  nth term $a_{n}$ = 4 n+5.

Formula Used:

$a_{n}$= p+(n-1)k  ----------------------------- formula no.01.

Here,  

$a_{n}$=  nth term of an A..P.

p=  first term of  an A..P.

k= common difference of  an A..P.

Solution:

$a_{n}$ = p+(n-1)k                ------ formula no.01

As given an =4 n+5

Putting value of an in formula no.01.

4 n+5=p+(n-1)k

4 n+5=(p-k )+n k

Comparing the coefficients  we get.

5=p-k  and k=4

p=9  and k=4

Therefore, first term p= 9   and  common difference k=4

                                                                                                   

Thus, The common difference of an A.P whose nth term an=4 n+5 is 4.