Question

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

Answer 1

a25-a20=45
a+24d-(a+19d)=45
a+24d-a-19d=45
24d-19d=45
5d=45
d=45/5
d=9
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Answer 2

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 ?

Solution :

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.