Question

If the nth term of an ap is 4n+1,then the common difference is

Answer 1

The common difference is 4.
You can find it by this
Let n=1; A1=4×1+1=5
Let n=2;A2=4×2+1=9

Answer 2

The common difference(d) = 4

Step-by-step explanation:

Given,

The nth term of an AP, $a_{n} =$ 4n + 1

To find, the common difference(d) = ?

Put n = 1 , 2, 3, 4, ......., n

The 1st term of an AP,

$a_{1} =$ 4(1) + 1  = 4 + 1 = 5

The 2nd term of an AP,

$a_{2}=$ 4(2) + 1  = 8 + 1 = 9

The 3rd term of an AP,

$a_{3}=$4(3) + 1 = 12 + 1 = 13

....

∴ The common difference(d) = Second term - First term = Third term - Second term

= 9 - 5 = 13 - 9

= 4

Hence, the common difference(d) = 4