Manipal MET2021MathematicsBasics of Mathematics
x+ x^3+ x^5+ .+ x^ 2 n-1 is equal to
Options
- A2 n x
- B(2 n-1) x
- Cn^2 x
- D(n^2+1 ) x
Correct answer
C. n^2 x
Step-by-step solution
x+ x^3+ x^5+ + x^ 2 n-1 aligned & = (x x^3 x^5 x^ 2 n-1 ) & = (x^ 1+3+5+ +2 n-1 ) & = x^ n 2 [2+(n-1) 2] = x^ n^2 =n^2 x aligned