Question

in an ap the third term is 32 and the fifth term is 40 find the sum of first 30terms​

Answer 1

hope you get right answer of your question

Answer 2

The sum of first 30 terms is 2460

Step-by-step explanation:

given that

$a_3 = 32\\a+2d=32..(1)\\a_5 = 40\\a+4d=40..(2)$

solving 1 and 2 by elimination method we get

d= 4

a= 24

then sum of first 30 terms  

$S_3_0 = \frac{n}{2}(2a+(n-1)d)\\\\S_3_0 = \frac{30}{2}(2(24)+(30-1)4)\\\\S_3_0 = 15(48+(29\times 4))\\\\S_3_0 = 15(48+116)\\\\S_3_0 = 15(164)\\\\S_3_0 = 2460$

hence , the sum of first 30 terms is 2460

#Learn more:

In an ap the sum of first term third term and fifth term is 39

https://brainly.in/question/13040422