Adding Consecutive Odd Numbers Starting from 1
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The document outlines the summation of all odd numbers starting from 1, providing examples of summing consecutive odd numbers up to 50 and 100. It explains how to determine the count of odd numbers in the series and illustrates the process of squaring this count to achieve the final results of 625 and 2500, respectively. These calculations are attributed to Dr. Ganesh Visavale, founder of iMentor Education.
Adding Consecutive Odd Numbers Starting from 1
- 1. iMentor iMentor 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
- 2. iMentor 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
- 18. iMentor iMentor Thanks! iMentor Education Dr. Ganesh Visavale SUMMATION OF ALL ODD NUMBERS STARTING FROM 1 4 / 4