Question

find the middle term of the AP 213, 205, 197,...., 37​

Answer 1

Answer:

189

Step-by-step explanation:

as the difference between the terms is -8 si the fourth term a4 + d=189

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Here

First term (a) = 213

Common d difference (d)

= 205 - 213

= -8

Also,

l = 37 , also number of term = n

Using formula we have,

= a + (n - 1)d

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

37 - 231 = -8(n - 1)

n - 1 = -176/-8

n = 22 + 1

n = 23

Now,

Middle term

= 23 + 1/2

= 12th

So,

a(12) = a + (n - 1)d

a(12) = 213 + (12 - 1)(-8)

a(12) = 213 - 88

a(12) = 125

Therefore,

Middle term = 125