Q3 of 239 Page 29

Find the sum of the following numbers without actually adding the numbers.
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17

We know that the sum of first n odd numbers is n²

Since there are 9 odd numbers starting from 1 to 17,

Sum = 9²

= 81

Find the sum of the following numbers without actually adding the numbers.

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15

Find the sum of the following numbers without actually adding the numbers.

1 + 3 + 5 + 7

Express the following as a sum of consecutive odd numbers starting with 1

7²

Express the following as a sum of consecutive odd numbers starting with 1

9²

Questions · 239

1. Real Number System

1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3

Find the sum of the following numbers without actually adding the numbers.1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17