/*! 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 3 Write the first four terms of ea... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 3

Write the first four terms of each sequence whose general term is given. $$a_{n}=3^{n}$$

Short Answer

Expert verified
The first four terms of the sequence are 3, 9, 27, and 81.

Step by step solution

01

Identify the general term

In a sequence, the formula to calculate a term at any given position, \(n\), is called the general term. In this exercise, the general term \(a_{n}=3^{n}\) is given.
02

Generate the first term

The first term of the sequence can be obtained by substituting \(n=1\) into the general term formula. Thus, \(a_{1}=3^{1}=3\)
03

Generate the second term

The second term of the sequence can be obtained by substituting \(n=2\) into the general term formula. Thus, \(a_{2}=3^{2}=9\)
04

Generate the third term

The third term of the sequence can be obtained by substituting \(n=3\) into the general term formula. Thus, \(a_{3}=3^{3}=27\)
05

Generate the fourth term

The fourth term of the sequence can be obtained by substituting \(n=4\) into the general term formula. Thus, \(a_{4}=3^{4}=81\)

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

Prove that $$ \left(\begin{array}{l}n \\\r\end{array}\right)=\left(\begin{array}{c}n \\\n-r\end{array}\right) $$

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$ (4 x-1)^{3} $$

What is a geometric sequence? Give an example with your explanation.

Use the Binomial Theorem to find a polynomial expansion for each function. Then use a graphing utility and an approach similar to the one in Exercises 64 and 65 to verify the expansion. $$ f_{1}(x)=(x-2)^{4} $$

Evaluate the given binomial coefficient. $$ \left(\begin{array}{c}11 \\\1\end{array}\right) $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.