Question

Find the middle term of the ap 213,205,197,....,37

Answer 1

Answer:

125

Step-by-step explanation:

In this AP(213,205,197,....,37),

first term'a'=213

common difference'd'=205-213=(-8)

Tn=37..........(a)

Now, Tn =a+(n-1)d

213+(n-1)(-8)

213-8n+8

Tn=221-8n

using(a)

37=221-8n

37-221=(-8n)

(-184)=(-8n)

184/8=n

23=n

hence this AP contains 23 terms..

middle term=n+1/2. (for odd numbers)

middle term=23+1/2

=24/2

=12th term

so, the middle term of this AP is its 12th term..

12th term=a+(12-1)d

=213+11*(-8)

=213-88

=125

so the middle term of this AP is 12th term

and the value of 12th term is 125..

HOPE IT HELPS YOU............