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Numbers between Square Numbers

The sum of n ...

Question

The sum of n successive odd natural numbers is $n^{2}$ .

A

False

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B

True

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Solution

The correct option is B True

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Similar questions

Q. What is the sum of successive odd natural numbers?

Q. If the sum of

n

successive odd natural numbers starting from

3

48

, find the value of

n

Q. Assertion :The variance of first

n

natural numbers is

\frac{n^{2} - 1}{6}

. Reason: The sum of the first

n

odd natural numbers is

n^{2}

and the sum of squares of first

n

odd natural numbers is

\frac{n}{3} (4 n^{2} - 1)

.

Q. The sum of first

n

consecutive odd natural numbers =

n^{2}

.

$1 + 3 + 5 + . . . . . + (2 n - 1) = n^{2}$ i.e., the sum of first n odd natural numbers is $n^{2}$ .

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