Question

If nth term of an AP is 2n+1 then find its common difference

Answer 1

Hey!!!!
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Here is your answer!!!!
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nth term =2n+1
1st term =2×1+1
=2+1=3
2nd term=2×2+1
=4+1=5
d=5-3=2
common difference =2
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I hope it will help you!!!!!

Answer 2

The common difference of the AP is 2

Given :

The nth term of an AP is 2n + 1

To find :

The common difference of the AP

Solution :

Step 1 of 3 :

Write down nth term of the AP

Here the nth term of an AP is 2n + 1

Step 2 of 3 :

Find the AP

Putting n = 1 , 2 , 3 , 4 , . . . . we get the AP as 3 , 5 , 7 , 9 , 11 , . . . .

Step 3 of 3 :

Find common difference of the AP

First term = 3

Second Term = 5

Third term = 7

Fourth term = 9

Now common difference is defined as the difference between the successive term and its preceding term.

Then common difference of the AP

= Second Term - First term

= 5 - 3

= 2

Note :

The common difference of the AP can be find as below :

Then common difference of the AP

= nth term of the AP - (n - 1)th term of the AP

= (2n + 1) - [ 2(n - 1) + 1 ]

= (2n + 1) - (2n - 2 + 1)

= (2n + 1) - (2n - 1)

= 2n + 1 - 2n + 1

= 2

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