The sum of first 16 odd numbers is ___.

246

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256

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286

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296

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Solution

The correct option is B
256

The sum of first n odd numbers = $n^{2}$

Ex: $1 + 3 + 5 = 3^{2} = 9$

$1 + 3 + 5 + 7 = 4^{2} = 16$

Similarly,

1+3+5+7+......... +(16^th odd no.) = $16^{2}$ = $256$

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Similar questions

The sum of the first 16 odd natural numbers is ___.

Thw table shows sums of odd numbers.

n sum of first odd number

1 1

2 1+3=4

3 1+3+5=9

4 1+3+5+7=16

5 1+3+5+7+9=25

1) Write a variable expression for the sum of the first n odd numbers.

2) Use your expression from part (b) to find the sum of the first 100 odd numbers.

Is the sum of the first five odd numbers, an odd number $?$

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