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Question
Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
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Solution
We know that the sum of first n odd natural numbers is n2.
Here, we have to find the sum of the first ten odd natural numbers.
Therefore, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = (10)2 = 100
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RELATED QUESTIONS
The squares of which of the following would be odd numbers?
- 431
- 2826
- 7779
- 82004
Observe the following pattern and supply the missing number.
112 = 121
1012 = 10201
101012 = 102030201
10101012 = _____
____2 = 10203040504030201.
Using the given pattern, find the missing numbers.
12 + 22 + 22 = 32
22 + 32 + 62 = 72
32 + 42 + 122 = 132
42 + 52 + _ 2 = 212
52 + _ 2 + 302 = 312
62 + 72 + _ 2 = __2
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To find pattern:
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Express 49 as the sum of 7 odd numbers.
How many numbers lie between squares of the given numbers?
12 and 13
How many numbers lie between squares of the given numbers?
25 and 26
Square of the number 7 is _________
Fill in the blank box.
The sum of first six odd natural numbers is ______.
The sum of first n odd natural numbers is n2.
