Question

The common difference of an arithmetic progression in which a15 -a6 =-27/2 ,is ( where an is the nth term of the given AP)

Answer 1

hay hii....the ans is -3/2

Answer 2

Answer:

The common difference of an arithmetic progression is: $\dfrac{-3}{2}$

Step-by-step explanation:

The nth term in an A.P. is given by:

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

where a is the first term of an A.P. and d is the common difference in an A.P.

We are given :

$a_{15}-a_{6}=\dfrac{-27}{2}\\ \\a+(15-1)d-(a+(6-1)d)=\dfrac{-27}{2}\\\\a+14d-(a+5d)=\dfrac{-27}{2}\\\\a+14d-a-5d=\dfrac{-27}{2}\\\\9d=\dfrac{-27}{2}\\\\d=\dfrac{-3}{2}$

Hence, the common difference of an arithmetic progression is: $\dfrac{-3}{2}$