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

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Sequences And Series

Section: Chapter Questions

Problem 7T

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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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