Question

(╯︵╰,)

If 11th term of ap is 38, 16th term is 73,find the sum of 31 terms of that A.P

I Have To Check My Answer Pls!!!....... (╯_╰)​

Answer 1

Answer:

$hllw \: mate.....$

Step-by-step explanation:

⚫ SOLUTION ⤵

$a + 10d = 38 = 1)\\ a + 15d = 73 = 2) \\ - \: \: \: \: - \: \: \: \: \:\: - \\ - 15d = - 35 \\ = > d = \frac{ - 35}{ - 15} = \frac{7}{3} \\ \\ put \: the \: value \: of \: d \: in \: \\ eq.1 \\ = > a + 10 \times \frac{7}{3} = 38 \\ = > a + \frac{70}{3} = 38 \\ = a = 38 - \frac{70}{3} \\ a = \frac{114 - 70}{3} \\ a = \frac{44}{3} \\ \\ \\sum \: of \: 31 \: terms \\ \\ sn = \frac{n}{2} (2a + (n - 1) \times d) \\ sn = \frac{31}{2} (2 \times \frac{44}{3} + (31 - 1) \times \frac{7}{ 3} ) \\ sn = \frac{31}{2} ( \frac{88}{3} + (30 \times \frac{7}{3} ) \\ = > \frac{31}{2} ( \frac{88}{3} + 70) \\ = > \frac{31}{2} ( \frac{298}{3} ) \\ = > 31 \times \frac{149}{3} \\ = > \frac{4619}{3}$

have a good day

❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗

plz mark as brainlist ♠♠♠♠

Answer 2

Hello.!! Kahan chala gyaa hai?

Teri Yaad Aati hai yaar..!!

☹️☹️Plz wapas aaja.!! ✌️

_❤️sky.!❤️