Question

1)
If sum of 3rd and 15th term of an A.P. is equal to sum of the 6th, 11th and 13th term
Then find 12th term​

Answer 1

Step-by-step explanation:

apply sum formula and you get andwer easily

Answer 2

The 12th term of A.P. is 0

Step-by-step explanation:

Given: Sum of 3rd and 15th term of an A.P. is equal to sum of the 6th, 11th and 13th term

Let $a_{n}$ is the nth term of an A.P.

$a_{n}=a+(n-1)d$

Now as given

$a_{3} + a_{15}=a_{6}+a_{11}+a_{13} \\\\\Rightarrow a+2d+a+14d=a+5d+a+10d+a+12d\\\\\Rightarrow 2a+16d=2a+15d+a+11d+d\\\\\Rightarrow 2a+16d=2a+16d+a+11d\\\\\Rightarrow0=a+11d\\\\\Rightarrow a_{12}=0$

Therefore 12th term is 0

# Learn More

200,195,190,185...,Find the nth term of the given AP

brainly.in/question/5078367