Question

in the sum of five numbers in A.P.is150,what is the middle number

Answer 1

(a-2d)+(a-d)+a+(a+d)+(a+2d)=150
5a=150
a=30

Answer 2

Given sum of five numbers in A.P is 150
Let the 5 numbers be (a-2d) , (a-d) , a , (a+d) , (a+2d)

=> a-2d+a-d+a+a+d+a+2d = 150
=> 5a-3d+3d = 150
=> 5a = 150
=> a = 150/5
=> a = 30

.°. Middle number of the A.P is 30

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