Question Example Step by Step For each geometric sequence, find a recursive rule by finding the common ratio by calculating the ratio of consecutive terms. Find an explicit rule for the sequence by finding each term as the product of the first term and a power of the common ratio. 12 3 4 an 50 25 12.5 6.25 3.125

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For each geometric sequence, find a recursive rule by finding the common ratio by
calculating the ratio of consecutive terms. Find an explicit rule for the sequence by finding
each term as the product of the first term and a power of the common ratio.
1
2
4
an 50 25 12.5 6.25 3.125
The recursive rule is a 1 =
|and a n =
an -1 forn2
The explicit rule is an =
n 1
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Transcribed Image Text:11:52 AM Wed Feb 3 AA A my.hrw.com D Home - Student Portal my.hrw.com/dashboard/... WorldWideTestbank Vie... HM 1 3 4 6 7 8 9 10 Question Example Step by Step For each geometric sequence, find a recursive rule by finding the common ratio by calculating the ratio of consecutive terms. Find an explicit rule for the sequence by finding each term as the product of the first term and a power of the common ratio. 1 2 4 an 50 25 12.5 6.25 3.125 The recursive rule is a 1 = |and a n = an -1 forn2 The explicit rule is an = n 1 Question 3 of 10 Check Answer Next Question Turn it In Save & Close POWERED BY 2.
Expert Solution
Step 1

Given data:

The geometric sequence is given by

50, 25, 12.5, 6.25, 3.125

The expression to find the nth term of g.p is given by

an=a·rn-1

here, "a" is the first term of g.p.

The value of an is given by

an=12an-1

 

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