.
S(1) = 1
S(2) = 3
S(3) = 6
S(4) = 10
The common term S(n) is the sum of the first "n" natural numbers
S(n) = 1 + 2 + 3 + 4 + . . . + n.
It is WELL KNOWN fact that S(n) = .
ANSWER. S(n) = .
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This fact relates to ARITHMETIC PROGRESSIONS.
For introductory lessons on arithmetic progressions see
- Arithmetic progressions
- The proofs of the formulas for arithmetic progressions
- Problems on arithmetic progressions
- Word problems on arithmetic progressions
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.