Question

Q5. Express the following:
(i) 49 as the sum of 7 odd numbers. (ii) Express 121 as the sum of 11 odd numbers.

Answer 1

Hyy Dude

The square of a natural number can be expressed as a sum of n odd numbers.

Conversely we can say that the sum of the first n odd  numbers is equal to the square of n(n²).

1 + 3 = 2² = 4

1 + 3 + 5 = 3² = 9

1 + 3 + 5 + 7 = 4² =16

1 + 3 + 5 + 7 + 9 = 5² = 25

So Sum of n odd numbers starting from 1 = n²

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Solution:

1) Since, 49 = 7²

49 can be written as :

1 + 3 + 5 + 7 + 9 + 11 + 13= 7²= 49

2) Since, 121 = 11²

121 can be written as:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 = 11²= 121

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Hope this will help you....

Plz marked in brainlest answer

Answer 2

Answer:

As we know that odd number that is not divisible by 2

So 7, 11 odd numbers will be used in this question

First

Summation

7+7+7+7+7+7+7=49

And

11+11+11+11+11+11+11+11+11+11+11=121

Thus solved