Question

Find the common difference of an ap in which a25-a12=-52

Answer 1

Answer:

-4

Step-by-step explanation:

Given : $a_{25}-a_{12}=-52$

To Find : Find the common difference of an ap

Solution:

Formula of nth term = $a_n=a+(n-1)d$

Substitute n = 25

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

$a_{25}=a+24d$

Substitute n = 12

$a_{12}=a+(12-1)d$

$a_{12}=a+11d$

Substitute these value in the given expression

$a_{25}-a_{12}=-52$

$a+24d-(a+11d)=-52$

$a+24d-a-11d=-52$

$24d-11d=-52$

$13d=-52$

$d=\frac{-52}{13}$

$d=-4$

Hence the common difference of given AP is -4

Answer 2

So, the common difference of this A.P. is -4.

[ this question is done by using the formula of nth term i.e.=> an = a+(n-1)d ]

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