Given the geometric sequence: 25, 6.25, 1.5625, . .. Find an explicit formula for an- 25 n-1 an Find as = 0.0015259 Note: Your answer to part one should be a function in terms of n. Your answer to part two should be a decimal, with at least 5 significant figures.

Given the geometric sequence: 25, 6.25, 1.5625, . .. Find an explicit formula for an- 25 n-1 an Find as = 0.0015259 Note: Your answer to part one should be a function in terms of n. Your answer to part two should be a decimal, with at least 5 significant figures.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.3: Geometric Sequences

Problem 59SE: Use the explicit formula to write a geometric sequence whose common ratio is a decimal number...

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Hello, I don't understand the equation may someone help me out, may you also write the work and answer legibly or type it out if possible please ?

Given the geometric sequence: 25, 6.25, 1.5625, . ..
Find an explicit formula for an.
an = 25
Find ag = 0.0015259
Note: Your answer to part one should be a function in terms of n. Your answer to part two should
be a decimal, with at least 5 significant figures.

Expert Solution

Step 1

We know for a geometric sequence with first term $a_{0}$ and common ratio r, the nth term $a_{n}$ is given by,

$a_{n}$ = $a_{0}$ * $r^{n - 1}$

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