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Adding Odd Numbers

Find the valu...

Question

Find the value of $(5 + 7 + 9 + 11 + 13) .$

A

45

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B

49

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C

36

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D

39

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Solution

The correct option is A 45
Sum of first n odd numbers $= n^{2}$

$\Rightarrow 1 + 3 + 5 + 7 + 9 + 11 + 13 = 7^{2} = 49$

$\Rightarrow 1 + 3 = 2^{2} = 4$

$5 + 7 + 9 + 11 + 13 = (1 + 3 + 5 + 7 + 9 + 11 + 13) - (1 + 3)$
$= 49 - 4 = 45$

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