Question

If 1/x+2,1/x+3,1/x+5 are in A.P. Then, x =
A. 5
B. 3
C. 1
D. 2

Answer 1

Answer:

1

Step-by-step explanation:

a1=1/x+2

a2=1/x+3

a3=1/x+5

common difference=a2 - a1=a3 - a2

2(a2)=a3+a1

2(1/x+3)=1/x+2 + 1/x+5

2/x+3=(x+5+x+2)/(x+2)(x+5)

2/x+3=(2x+7)/x^2+7x+10

2x^2+14x+20=2x^2+13x+21

14x - 13x=20 - 21

x=1

HOPE IT IS HELPFUL MAKE ME BRAINLIEST