Question

..find the middle term of the AP 7 13 19 – – – 247 ​

Answer 1

$\huge\star\underline\blue {Answer:-}$

Given

AP is 7,13,19,........,247

First term a= 7

common difference d=6

let 247 be the nth term

$a + (n - 1)d = 247 \\ 7 + (n - 1)6 = 247 \\ (n - 1)6 = 240 \\ n - 1 = 40 \\ n = 41$

Middle term =n+1/2= 41+1/2= 21st term

Middle term

$= a + (n - 1)d \\ = 7 + (21 - 1)6 \\ = 7 + 20 \times 6 \\ = 7 + 120 \\ = 127$

Hence the middle term is 127

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Regards,

Abhinay.