SOLUTION: Given two terms in artimetic sequence find the common diffrence , the explicit formula,and recursive formula. a11=110 and a37=370

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Question 1083519: Given two terms in artimetic sequence find the common diffrence , the explicit formula,and recursive formula.
a11=110 and a37=370
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
a%5B1%5D = 10;


d = 10.


a%5Bn%5D = a%5B1%5D+%2B+d%2A%28n-1%29 = 10 + 10*(n-1) = 10n.


a%5Bn%2B1%5D = a%5Bn%5D%2B10.


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There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions


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".