Question

If 1/x+2 ,1/x+3 and 1/x+5 are in A.P find x​

Answer 1

Answer:

in A.p

a2 -a1 = a3 - a2

Step-by-step explanation:

then,

here

a1= 1/x+2

a2 =1/x+3

a3=1/x+5

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

Answer 2

Answer:

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