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Bulenteren Posted 21 years ago
Jokes, Puzzles & Riddles

1+2+3+...+100

0what is the shortest way to solve this question:02br
02br
001+2+3+.....+100=?02br
02br
00.n.(n+1)/2 except for the solution using this formula please0-
  

Top answer

Hi bulenteren The total is 5050 The numbers can be rearranged into pairs, add them like this: (1 + 100) + (2 + 99) + (3 + 98) + . . + (50 + 51) = ?

  • Hi bulenteren The total is 5050 The numbers can be rearranged into pairs, add them like this: (1 + 100) + (2 + 99) + (3 + 98) + .
  • .
  • + (50 + 51) = ?
  • If you notice every pair of numbers adds up to 101.
  • There are 50 pairs of numbers, so the answer is 50 x 101 = 5050.
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2 Answers
0
Hi bulenteren The total is 5050

The numbers can be rearranged into pairs, add them like this:

(1 + 100) + (2 + 99) + (3 + 98) + . . . . + (50 + 51) = ?

If you notice every pair of numbers adds up to 101. There are 50
pairs of numbers, so the answer is 50 x 101 = 5050.

In general to find the sum of all the numbers from 1 to N:

0
Thank you. Helped me too!

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