Hey friends, here is a simple trick to find the summation of consecutive odd numbers starting from 1 in a second. This simple trick can be very useful for various competitive exams saving great time with accuracy. I hope this is useful for you :)

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SUMMATION OF ALL ODD NUMBERS STARTING FROM 1
Dr. Ganesh Visavale
Founder
iMentor Education
February 20, 2019
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 1 / 4

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iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

3. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

4. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Here: there are 25 odd numbers between 1 and 50
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

5. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Here: there are 25 odd numbers between 1 and 50
2 Square the above number
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

6. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Here: there are 25 odd numbers between 1 and 50
2 Square the above number
∴ 25 × 25 =
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

7. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Here: there are 25 odd numbers between 1 and 50
2 Square the above number
∴ 25 × 25 = 625
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

8. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Here: there are 25 odd numbers between 1 and 50
2 Square the above number
∴ 25 × 25 = 625 ANSWER = 625
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

9. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 01: 1 + 3 + 5 ... + 50
1 Find the amount of odd numbers in the series
Here: there are 25 odd numbers between 1 and 50
2 Square the above number
∴ 25 × 25 = 625 ANSWER = 625
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 2 / 4

10. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

11. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

12. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Here: there are 50 odd numbers between 1 and 100
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

13. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Here: there are 50 odd numbers between 1 and 100
2 Square the above number
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

14. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Here: there are 50 odd numbers between 1 and 100
2 Square the above number
∴ 50 × 50 =
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

15. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Here: there are 50 odd numbers between 1 and 100
2 Square the above number
∴ 50 × 50 = 2500
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

16. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Here: there are 50 odd numbers between 1 and 100
2 Square the above number
∴ 50 × 50 = 2500 ANSWER = 2500
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

17. iMentor
iMentor
Summation of Consecutive Odd Numbers from 1
Example 02: 1 + 3 + 5 ... + 100
1 Find the amount of odd numbers in the series
Here: there are 50 odd numbers between 1 and 100
2 Square the above number
∴ 50 × 50 = 2500 ANSWER = 2500
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 3 / 4

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Thanks!
iMentor Education
Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 4 / 4