SOLUTION: Which is larger,the 10th term of an arithmetic sequence that begins with the term 0and 100 or the 10th term of a geometric sequence that begins with the terms 5 and 10?show work th

Question 1112393: Which is larger,the 10th term of an arithmetic sequence that begins with the term 0and 100 or the 10th term of a geometric sequence that begins with the terms 5 and 10?show work that justifies your answer
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.

Regarding arithmetic progression, its first term is 0 and the common difference is  100-0 = 100,

so its 10-th term is   = 0 + 9*100 = 900.



Regarding geometric progression, its first term is 5 and the common difference is   = 2,

so its 10-th term is   =  = 2560.



Comparing these numbers, you can easily make your conclusion.

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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

There is a bunch of lessons on geometric progressions in this site
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
    - One characteristic property of geometric progressions
    - Solved problems on geometric progressions
    - Fresh, sweet and crispy problem on arithmetic and geometric progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric

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 topics
"Arithmetic progressions" and "Geometric progressions", respectively

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.

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