For the infinite geometric sequence (xn) whose first four terms are:  1.3, 3.77, 10.933, 31.7057  find the values of the first term a and a common ratio r and write down a common recurrence system for this sequence.  Next, write down a closed form for this sequence and calculate the tenth term in this sequence to 3 dp

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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For the infinite geometric sequence (xn) whose first four terms are: 

1.3, 3.77, 10.933, 31.7057 

find the values of the first term a and a common ratio r and write down a common recurrence system for this sequence. 

Next, write down a closed form for this sequence and calculate the tenth term in this sequence to 3 dp

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