Question

please solve this..​

Answer 1

Step-by-step explanation:

Formula :

An = A + ( n - 1 ) d

A24 = A + ( 24 - 1 ) d

or, A24 = A + 23 d

A10 = A + ( 10 - 1 ) d

or, A10 = A + 9 d

According to the question ;

A24 = 2 x A10

or, A + 23 d = 2 x ( A + 9 d )

or, A + 23 d = 2 A + 18 d

so, A = 5 d

To Prove : A72 = 2 x A34

A72 = A + 71 d. ( by Formula)

A34 = A + 33 d

so, 2 x A34 = 2 x ( A + 33 d )

or, 2A34 = 2 A + 66 d = A + A + 66 d

but A = 5 d

So, 2 x A34 = A + 5 d + 66 d

Hence,. 2 x A34 = A + 71 d = A72

Therefore, 2 x A34 = A72.