Find the common difference of the A.P. and write the next two terms:$75, 67, 59, 51, ………$

Given:

Given A.P. is $75, 67, 59, 51, ………$

To do:

We have to find the common difference and write the next two terms of the given A.P.

Solution: 

 The common difference of an A.P. is the difference between any two consecutive terms.

Here,

$a_1=75, a_2=67, a_3=59, a_4=51$

$d=a_2-a_1=67-75=-8$

$a_5=a_4+d=51+(-8)=43$

$a_6=a_5+d=43+(-8)=35$

The common difference of the given A.P. is $-8$ and the next two terms are $43$ and $35$.  

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Updated on: 10-Oct-2022

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