Question

Answer ap question
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Answer 1

Step-by-step explanation:

Let a= first term of A.P., d=common difference

n

th

term, a

n

=a+(n−1)d;

Here a=213, d=205−213=−8,a

n

=37

a

n

=a+(n−1)d

⇒37=213+(n−1)(−8)

⇒176=8(n−1)

⇒8n=184

⇒n=23

⇒ Middle term =

2

23+1

=12

th

term

⇒a

12

=a+11d=213−88=125.