/*! 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 1 Write the first four terms of ea... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 1

Write the first four terms of each sequence whose general term is given. $$a_{n}=3 n+2$$

Short Answer

Expert verified
The first four terms of the sequence are 5, 8, 11 and 14.

Step by step solution

01

Find the first term

Substitute \(n\) by 1 in the equation \(a_{n}=3n+2\). Therefore, the first term \(a_1\) is \(3(1) + 2 = 5\)
02

Find the second term

Substitute \(n\) by 2 in the equation \(a_{n}=3n+2\). Therefore, the second term \(a_2\) is \(3(2) + 2 = 8\)
03

Find the third term

Substitute \(n\) by 3 in the equation \(a_{n}=3n+2\). Therefore, the third term \(a_3\) is \(3(3) + 2 = 11\)
04

Find the fourth term

Substitute \(n\) by 4 in the equation \(a_{n}=3n+2\). Therefore, the fourth term \(a_4\) is \(3(4) + 2 = 14\)

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

Which one of the following is true? a. The sequence \(2,6,24,120, \ldots\) is an example of a geometric sequence. b. The sum of the geometric series \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\dots+\frac{1}{512}\) can only be estimated without knowing precisely which terms occur between \(\frac{1}{8}\) and \(\frac{1}{512}\). c. \(10-5+\frac{5}{2}-\frac{5}{4}+\cdots=\frac{10}{1-\frac{1}{2}}\) d. If the \(n\) th term of a geometric sequence is \(a_{n}=3(0.5)^{n-1},\) the common ratio is \(\frac{1}{2}\).

Write the first three terms in each binomial expansion, expressing the result in simplified form. $$ (x+3)^{8} $$

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

Find the term indicated in each expansion. \((x-1)^{9} ;\) fifth term

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$ (x+2)^{3} $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.