Explanation Given: The general term of the sequence a n = ( − 1 ) n + 1 n 2 . Find the first five terms by substituting 1 , 2 , 3 , 4 , 5 in place of n in the general term a n = ( − 1 ) n + 1 n 2 as follows: For n =1, a 1 = ( − 1 ) 1 + 1 1 2 = ( − 1 ) 2 1 2 = 1 For n =2, a 2 = ( − 1 ) 2 + 1 2 2 = ( − 1 ) 3 4 = − 1 4 For n =3, a 3 =

6th Edition

ISBN: 9780321782281

Author: Robert F. Blitzer

Publisher: PEARSON

See similar textbooks

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Videos

Question

Chapter 8, Problem 1T

To determine

The first five terms of the sequence having the general term as an=(−1)n+1n2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 98RE

Chapter 8, Problem 2T

Students have asked these similar questions

Nicole organized a new corporation. The corporation began business on April 1 of year 1. She made the following expenditures associated with getting the corporation started: Expense Date Amount Attorney fees for articles of incorporation February 10 $ 40,500 March 1-March 30 wages March 30 6,550 March 1-March 30 rent Stock issuance costs March 30 2,850 April 1-May 30 wages Note: Leave no answer blank. Enter zero if applicable. April 1 May 30 24,000 16,375 c. What amount can the corporation deduct as amortization expense for the organizational expenditures and for the start-up costs for year 1 [not including the amount determined in part (b)]? Note: Round intermediate calculations to 2 decimal places and final answer to the nearest whole dollar amount. Start-up costs amortized Organizational expenditures amortized

Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1 through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of ($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows: (1) Tons of Coal 18,950 Depletion (2) Basis (2)(1) Rate $2,918,300 $154.00 Tons Extracted per Year Year 1 4,500 Year 2 8,850 Year 3 6,600 Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars. a. What is LCM's cost depletion for years 1, 2, and 3? Cost Depletion Year 1 Year 2 Year 3

Consider the following equation. log1/9' =6 Find the value of x. Round your answer to the nearest thousandth. x = ✓

Chapter 8 Solutions

College Algebra

Ch. 8.1 - {an} = a1, a2, a3, a4, , an, represents an...Ch. 8.1 - The nth term of a sequence, represented by an, is...Ch. 8.1 - an = 5n 6 ___Ch. 8.1 - an=(1)n4n1 ____Ch. 8.1 - Prob. 5CVC Ch. 8.1 - 5!, called 5 _______, is the product of all...Ch. 8.1 - (n+3)!(n+2)!= ____Ch. 8.1 - i=1nai=++++. In this summation notation, i is...Ch. 8.1 - In Exercises 1-12, write the first four terms of...Ch. 8.1 - In Exercises 1-12, write the first four terms of...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The first five terms of the sequence having the general term as a n = ( − 1 ) n + 1 n 2 .

Solution Summary: The author explains how to determine the first five terms of the sequence having the general term a_n=(-1).

Concept explainers

Videos

The first five terms of the sequence having the general term as an=(−1)n+1n2.

Want to see the full answer?

Chapter 8 Solutions