/*! 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 17. Find the fifth term and the nth ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q 17. (page 824)

Find the fifth term and the nth term of the geometric sequence whose initial term a1and common ratio rare given. a1=2,r=3

Short Answer

Expert verified

Thenthterm isan=2脳3n-1and the fifth term isa5=162.

Step by step solution

01

Step 1. Given information.

We havea1=2andr=3

The nthterm of a geometric sequence is determined by formula an=a1rn-1.a1=2

02

Step 2. To find the fifth term and the nth term.

Substitute a1=2,r=3and n=5.

an=2脳3n-1

and

a5=2脳35-1a5=2脳34a5=162

Thenthterm isan=2脳3n-1and the fifth term isa5=162.

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

In Problems 71-82, find the sum of each sequence.

鈭�k=140k

Problems 17鈥�28, write down the first five terms of each sequence.

cn=-1n+1n2

In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequence ansuggested by the pattern.

1,-1,1,-1,1,-1,...

True or False. A function is a relation between two sets D

and R so that each element x in the first set D is related to exactly one element y in the second set R.

In Problems 61鈥�70, express each sum using summation notation.

1+2+3+...+20
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

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.