CBSE Class 6 Mathematics Question 9 of 25

Patterns in Mathematics — Question 11

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11
Question
Now by imagining a similar picture, or by drawing it partially, as needed, can you say what is the sum of the first 100 odd numbers?
Answer

Do it yourself by referring the above image.
We know that adding up consecutive odd numbers gives square numbers.
So, while adding up 100 odd number, we get a number which is square of 100.
1 + 3 + 5 + 7 + 9+ 11 + … + 197 + 199 = 10000
1.4 Relations Among Number Sequences Figure it Out (Page No. 8-9)