From the BEATCALC
mailing list:
a weekly service from B. Lee Clay,
archived here by the Math Forum.
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Add a sequence from one to a selected
2-digit
number
Choose a 2-digit number.
Multiply the 2-digit number by half the next number, or
Multiply half the 2-digit number by the next number.
Example:
If the 2-digit even number selected is 51:
The next number is 52. Multiply 51 times half of 52.
51 x 26: (50 x 20) + (50 x 6) + 1 x 26) =
1000 + 300 + 26 = 1326
So the sum of all numbers from 1 through 51 is 1326.
See the pattern?
If the 2-digit even number selected is 34:
The next number is 35. Multiply half of 34 x 35.
17 x 35: (10 x 35) + (7 x 30) + (7 x 5) =
350 + 210 + 35 = 560 + 35 = 595
So the sum of all numbers from 1 through 34 is 595.
With some multiplication practice you will be able to find these sums of sequential
numbers easily and faster than someone using a calculator!