Question

if 3 times the third term of an A.P is equal to 5 time the fifth term. then it's 8th term is?​

Answer 1

Answer:

Tn=a+(n-1)d

Tn=nth term

a=first number

d=common difference(difference between consecutive terms)

T3=a+(3-1)d

=a+2d

T5=a+(5-1)d

=a+4d

3(T3)=5(T5)

3a+6d=5a+20d

or, 3a-5a=20d-6d

or, -2a=14d

or, a=14d/(-2)

therefore, a=(-7d)

T8=a+(8-1)d=a+7d

= -7d+7d=0