Question

If the the sum of three numbers in A.p is 36 then find the middle term

Answer 1

The answer in the picture may help you

Answer 2

Answer:

Given:

Sum(S) = 36

No. of terms(n) = 3

We know:

First term=a

Common difference=d

2nd term i.e. middle term=a+d

Now:

S=n÷2[2a+(n-1)d]

36=3÷2[2a+(3-1)d]

36=3÷2[2a+2d]

72÷3=2(a+d)

24=2(a+d)

24÷2=a+d

12=a+d

Therefore, the middle term is 12.