SOLUTION: What is the sum of the first 50 counting numbers?
Please give me some ideas to solve this problem! Thanks!
Algebra.Com
Question 1044203: What is the sum of the first 50 counting numbers?
Please give me some ideas to solve this problem! Thanks!
Found 2 solutions by reviewermath, ikleyn:
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
What is the sum of the first 50 counting numbers?
Solution:
Add the first and last: 1 + 50 = 51
Add the 2nd and the 2nd to the last: 2 + 49 = 51
and so on: 3 + 48 = 51
up to: 25 + 26 = 51
So we add 51 + 51 + 51 + ...+ 51 = 51 times 25 =
In general, the sum of the first n counting numbers is
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
It is an arithmetic progression with the first term 1 and the common difference 1.
On arithmetic progressions and their sums see the lesson
- Arithmetic progressions
- The proofs of the formulas for arithmetic progressions
- Problems on arithmetic progressions
- Word problems on arithmetic progressions
- Chocolate bars and arithmetic progressions
in this site.
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