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} $