NDA2018MathematicsSequences and SeriesActual
If an infinite GP has the first term x and the sum 5 , then which of the following is correct?
Options
- Ax -10
- B-10 x 0
- C0 x 10
- Dx 10
Correct answer
C. 0 x 10
Step-by-step solution
Sum of an infinite G.P. with first term x and common ratio r( 1) is s= x 1-r From question s=5 then, 5= x 1-r aligned 1-r & = x 5 r & =1- x 5 aligned For, -1 1- x 5 1 aligned -2 & - x 5 0 0 & x 10 aligned