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Question: The sum of \(1 + 3 + 5 + 7 + \ldots \ldots \ldots\) upto \(n\) terms is....

The sum of 1+3+5+7+………1 + 3 + 5 + 7 + \ldots \ldots \ldots upto nn terms is.

A

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

B

(2n)2( 2 n ) ^ { 2 }

C

n2n ^ { 2 }

D

(n−1)2( n - 1 ) ^ { 2 }

Answer

n2n ^ { 2 }

Explanation

Solution

upto nn terms.

⇒\Rightarrow Sn=n2{2×1+(n−1)2}=n2S _ { n } = \frac { n } { 2 } \{ 2 \times 1 + ( n - 1 ) 2 \} = n ^ { 2 }.