Question

If 3 times the third term of an AP is equal to
5 times the fifth term. Then its 8th term is​

Answer 1

Step-by-step explanation:

Let the first term of the AP be a and common difference be d.

Then third term=a+(3-1)d=a+2d

and fifth term =a+(5-1)d=a+4d.

According to question,

3(a+2d)=5(a+4d)

=> 3a+6d=5a+20d

=> 3a-5a=20d-6d

=> -2a=14d

=> a=(-7d)

So 8th term=a+(8-1)d

= a+7d

=-7d+7d

=0

Thus, the 8th term of the AP is 0.(Answer)

Hope you got it.