/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 92 Will help you prepare for the ma... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 92

Will help you prepare for the material covered in the first section of the next chapter. Evaluate \(\frac{(-1)^{n}}{3^{n}-1}\) for \(n=1,2,3,\) and 4

Short Answer

Expert verified
The results are \(\frac{-1}{2}\) for n=1, \(\frac{1}{8}\) for n=2, \(\frac{-1}{26}\) for n=3, and \(\frac{1}{80}\) for n=4.

Step by step solution

01

Substitute n=1

Start with the value n=1. Substituting this into the expression, we get \(\frac{(-1)^{1}}{3^{1}-1}=\frac{-1}{2}\).
02

Substitute n=2

Next is value n=2. Make the substitution and compute the answer, which yields \(\frac{(-1)^{2}}{3^{2}-1}=\frac{1}{8}\).
03

Substitute n=3

Follow the same process with n=3. The result is \(\frac{(-1)^{3}}{3^{3}-1}=\frac{-1}{26}\).
04

Substitute n=4

Lastly, evaluate the expression for n=4. This gives \(\frac{(-1)^{4}}{3^{4}-1}=\frac{1}{80}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the solution set for each system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection. Check all solutions in both equations. $$ \left\\{\begin{array}{l} x=(y+2)^{2}-1 \\ (x-2)^{2}+(y+2)^{2}=1 \end{array}\right. $$

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((2,4) ;\) Directrix: \(x=-4\)

Graph each semi ellipse. $$y=-\sqrt{16-4 x^{2}}$$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$x^{2}-6 y=0$$

Graph each relation. Use the relation's graph to determine its domain and range. \(\frac{x^{2}}{9}+\frac{y^{2}}{16}=1\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.