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Formula for Sum of n Terms of an AP

Find the valu...

Question

Find the value of x for which (x+2),2x,(2x+3) are 3 consecutive terms of an AP

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Solution

Let us take an A.P of terms a, b, c
The arithmetic mean is b
(a+c)/2

Here,
a= x + 2
b= 2x
c= 2x + 3
On substituting the values in the formula we get :
2x=x+2+2x+3/2
2x=3x+5/2
4x=3x+5
X=5
Hence the value of x is 5

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