SOLUTION: Show the sequence defined by tn=4n+7 is an ap

Question 1092938: Show the sequence defined by tn=4n+7 is an ap

Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

 -  = 4*(n+1) + 7) - (4n+7) = 4n + 4 +7 - 4n - 7 = 4.


Thus, the difference between the next term and the current term is a constant value for each two neighbor terms of the sequence.


Hence, the sequence is an AP, in accordance with the definition.

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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".

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Free of charge online textbook in ALGEBRA-II
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