find the common difference of the ap whose general term an=2n+1

Given that the general term of an AP is,

 

  …… (1)

Substitute n=1, 2, 3, 4… in equation (1),

Thus, we get the series,

So, common difference,

 

 

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2

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if n=1;a1=2*1+1=3;if n=2 ; a2=2*2+1=5;d=5-3=2

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n = 1

an = 3

n =2

an = 5

a2 -a1 = d

d = 5-3 =2

HOPE THIS HELPS...

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