Binomial Theorem And Its Simple Applications Question 144

Question: The sum to n terms of 1+3+5..is

Options:

A) $ n $

B) $ 2n-1 $

C) $ n^{2} $

D) $ n^{3} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ 1^{st} $ term =1 =2-1, $ 2^{nd} $ term =3 =4-1, $ n^{th} $ term is 2n-1

Therefore, $ \sum{(2n-1)=2.\frac{n(n+1)}{2}}-n=n^{2}+n-n=n^{2} $