For an AP if a25-a20=45,then d is equal to – InterviewSolution

1.

For an AP if a25-a20=45,then d is equal to

Answer»

The value of d is 9.

Step-by-step EXPLANATION:

Given : For an A.P if $a_{25}-a_{20}=45$

To find : The value of d ?

The nth term of AP is $a_n=a+(n-1)d$

$a_{25}=a+(25-1)d=a+24d$

$a_{20}=a+(20-1)d=a+19d$

Substitute in the given expression,

$a+24d-(a+19d)=45$

$a+24d-a-19d=45$

$5d=45$

$d=\frac{45}{5}$

$d=9$

Therefore, the value of d is 9.

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