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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
RELATED QUESTIONS
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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Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
Express 121 as the sum of 11 odd numbers.
How many numbers lie between squares of the following numbers?
99 and 100
64 is the square number of __________
Is 24 a square number?
Fill in the blank box.
The sum of first n odd natural numbers is n2.
Express 81 as the sum of first nine consecutive odd numbers.
