SOLUTION: The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

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Question 1123644: The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.
a%5B10%5D = a%5B1%5D+%2B+d%2A9  ====>


13 = - 5 + d*9  ====>  d = %2813%2B5%29%2F9 = 2.


Answer.  The common difference is 2.

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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.