BITSAT2020MathematicsSequences and SeriesActual
If y=3 x+6 x²+10 x³+ , , then 1 3 y- 1.4 3² 2 y²+ 1.4 .7 3² 3 y³- is equal to
Options
- Ax
- B1-x
- C1+x
- Dx^ x
Correct answer
A. x
Step-by-step solution
We have y=3 x+6 x²+10 x³+ 1+y=1+3 x+6 x²+10 x³+ 1+y=(1-x)⁻³ 1-x=(1+y)^ -1 / 3 x=1-(1+y)^ -1 / 3 = 1 3 y- 1.4 3² 2 y²+ 1 4 7 3² 3 y³-