Sequence And Series Question 409

Question: The sum of $ 1+3+5+7+……… $ upto $ n $ terms is

[MP PET 1984]

Options:

A) $ {{(n+1)}^{2}} $

B) $ {{(2n)}^{2}} $

C) $ n^{2} $

D) $ {{(n-1)}^{2}} $

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Answer:

Correct Answer: C

Solution:

$ 1+3+5+7+………. $ upto $ n $ terms.
$ \Rightarrow $ $ S_{n}=\frac{n}{2}{ 2\times 1+(n-1)2 }=n^{2} $ .



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