Question

if 29the term of an ap is twice of its 18the term,then the 9th term is ​

Answer 1

Answer:

check ur answer.......

Answer 2

Question:-

➡ If 29th term of an AP is twice of its 18th term, then what is the 9th term?

Answer:-

➡ The 9th term of the AP is = 2d (equal to twice of common difference)

Solution:-

Given,

➡ 29th term of the AP is twice of its 18th term.

Let us assume that,

➡ First term = a

➡ Common difference = d

So,

➡ 29th term = a + (29 - 1)d

➡ 29th term = a + 28d

Now,

➡ 18th term = a + (18 - 1)d

➡ 18th term = a + 17d

According to the given condition,

➡ 29th term = 2 x 18th term

➡ a + 28d = 2(a + 17d)

➡ a + 28d = 2a + 34d

➡ a = -6d

Therefore,

9th term will be

= a + 8d

Substituting a, we get,

= -6d + 8d

= 2d

Which is the required answer.