99 Percentile Qs Bank for JEE MainMathematicsBasics of Mathematics
₄ 2- ₈ 2+ ₁₆ 2- is equal to
Options
- Ae^2
- B_e 2
- C1+ _e 3
- D1- _e 2
Correct answer
D. 1- _e 2
Step-by-step solution
₄ 2- ₈ 2+ ₁₆ 2- = 1 ₂ 4 - 1 ₂ 8 + 1 ₂ 16 - _b a= 1 _a b = 1 ₂(2)^2 - 1 ₂(2)^3 + 1 ₂(2)^4 - = 1 2 ₂ 2 - 1 3 ₂ 2 + 1 4 ₂ 2 - ( ₂ 2=1 )= ( 1 2 - 1 3 + 1 4 - ) _e(1+x)=x- x^2 2 + x^3 3 - x^4 4 + (Put x=1 ) _e(1+1)=1- 1 2 + 1 3 - 1 4 + 1 2 - 1 3 + 1 4 - =1- _e 2=1- _e 2