NDA2019MathematicsSequences and SeriesActual
What is the value of 2+ 1 2+ 1 2+ 1 2+
Options
- A2 -1
- B2 +1
- C3
- D4
Correct answer
B. 2 +1
Step-by-step solution
Let y=2+ 1 2+ 1 2+ aligned & y=2+ 1 y & y^2=2 y+1 & y^2-2 y-1=0 & y= 2 (-2)^2-4(-1) 2 & y= 2 2 2 2 =1 2 & y 2 & y=1 2 aligned