Advertisement Remove all ads

Q 7 - Mathematics

Sum

Q 7

Advertisement Remove all ads

Solution

y = x + x2 + x3 +.............∞, where |x| < 1

⇒ y = x(1 + x + x2 + ............∞)

⇒ y = x`[1/(1-x)]`

⇒ y (1 - x) = x

⇒ y - xy = x

⇒ y = x + xy

⇒ y = x(1 + y)

⇒ `y/(1+y)=x`

⇒ `x=y/(1+y)`

Concept: Simple Applications - Geometric Progression
  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×