Tricks on getting the sum of consecutive numbers inclusive of two numbers.
- Choose any two counting numbers (or signed numbers)
- Add the numbers
- Subtract the smaller number from the larger. Then add one (1) to the difference.
- Multiply half the sum(in step 2) by the result in step 3.
OR: Multiply half the result in step 3 by the sum (in step 2).
Example:
Find the sum of all the numbers from 5 to 26.
Step 1: 5 & 26
Step 2: 5 + 26 = 31
Step 3: 26 - 5 = 21
21 + 1 = 22
Step 4: Multiply half of 22 by 31 :
11 x 31 = 341
OR: Multiply half of 31 by 22:
15.5 X 22 = 341
Therefore, the sum of all the numbers from 5 to 26 is 341.
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