Question

Find the middle term of the A.P. 213, 205, 197, ..... 37.​

Answer 1

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Answer :

Given : a=213 d= -8 an=37

An = a+(n-1)d

37 = 213 + (n-1)-8 = 213 - 8n + 8

= 221 - 8n

37 - 221 = -8n

-184 = -8n

n = 23

Middle term = n+1 /2 = 12th term

a12 = a + 11d = 213 + 11(-8)

= 213 - 88

a12 = 125

Answer 2

Answer:

the answer is

Step-by-step explanation:

in this Q a=213

d=a2-a1=205-213=-8

now

37=a+(n-1)d

37=213+(n-1)-8

37=213-8n+8

37=221-8n

8n=221-37=184

n=8/184=23

the middle term ap 23/2=11.5 which is=12

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