Question

The 8th term of an AP is 0. Prove that it's 38th term is thrible to its 18th term

Answer 1

Answer:

Proved below.

Step-by-step explanation:

Given,

8th term of an AP is 0.

We know,

In AP, nth term is written as a + ( n - 1 )d where a is the first term and d is the common difference between the terms.

Therefore,

= > 8th term = 0

= > a + 7d = 0

= > a = - 7d

Thus,

= > 38th term ; 18th term

= > a + 37d ; = > a + 17d

= > - 7d + 37d ; = > - 7d + 17d { from above, a = - 7d }

= > 30d ; = > 10d

On observing,

= > 30d = 3 x 10d

= > 38th term = 3 x 17th term.

Proved.