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How to add number from 1 to 100 in few seconds math magic arithmetic progression EP17 Video Lecture | Improve Your Calculations: Vedic Maths (Hindi) - Bank Exams
FAQs on How to add number from 1 to 100 in few seconds math magic arithmetic progression EP17 Video Lecture - Improve Your Calculations: Vedic Maths (Hindi) - Bank Exams
| 1. How can I quickly add numbers from 1 to 100? |  |
Ans. One way to quickly add numbers from 1 to 100 is to use the formula for the arithmetic progression sum. The sum of an arithmetic progression can be found using the formula: sum = (n/2)(first term + last term), where n is the number of terms. In this case, the first term is 1, the last term is 100, and the number of terms is 100. By plugging these values into the formula, we can calculate the sum in a few seconds.
| 2. What is the formula for an arithmetic progression sum? | |
Ans. The formula for the sum of an arithmetic progression is: sum = (n/2)(first term + last term), where n is the number of terms, the first term is the initial number in the sequence, and the last term is the final number in the sequence. This formula allows us to quickly calculate the sum of a given arithmetic progression.
| 3. Can the formula for an arithmetic progression sum be used for any sequence of numbers? | |
Ans. No, the formula for the sum of an arithmetic progression can only be used for sequences where the difference between consecutive terms is constant. If the sequence does not have a constant difference between terms, such as in a geometric progression or a random sequence of numbers, the formula cannot be applied.
| 4. Is there a shortcut to calculate arithmetic progression sums? | |
Ans. Yes, there is a shortcut to calculate arithmetic progression sums, especially when dealing with consecutive numbers. By using the formula sum = (n/2)(first term + last term), we can see that the sum of consecutive numbers can be expressed as n(n+1)/2. This formula allows for even quicker calculations of arithmetic progression sums.
| 5. Are there any other methods to quickly add numbers from 1 to 100? | |
Ans. Yes, there are alternative methods to quickly add numbers from 1 to 100. One such method is to recognize that the sum of consecutive numbers from 1 to 100 is equal to the sum of consecutive numbers from 100 to 1. By pairing the numbers from both sequences (1+100, 2+99, 3+98, and so on), we end up with 50 pairs, each equal to 101. Multiplying 50 by 101 gives us the sum of 5050, which is the sum of numbers from 1 to 100.
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