/*! 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} Q. 12.9 Find a general term for the sequ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 12.9 (page 1167)

Find a general term for the sequence whose first five terms are shown. 鈭�3, 9, 鈭�27, 81, 鈭�243, ...

Short Answer

Expert verified

The general term for the given sequence isan=鈭�1n3n

Step by step solution

01

Step 1. Given information

The first five terms are shown. 鈭�3, 9, 鈭�27, 81, 鈭�243,...

02

Step 2. Observing the pattern

n12345...nTerms鈭�39鈭�2781鈭�243...Pattern鈭�1131鈭�1232鈭�1333鈭�1434鈭�1535...鈭�1n3n

03

Step 3. Conclusion

The numbers are powers of 3. The signs are alternating, with odd nnegative.

Therefore,

The general term islocalid="1645103689408" an=鈭�1n3n

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

Write the first five terms of the sequence whose general term isan=3n!

Write the first five terms of the sequence whose general term isan=鈭�1n+1n3

an=鈭�1nn2.Write the first five terms of the sequence whose general term is

Write the first five terms of the sequence where the first term is 7 and the common ratio is r=-3.

Expand the partial sum and find its value:鈭�k=033k!
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.