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
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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(52788) (Show Source):
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.