Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 11.3, Problem 80STP
To determine
Determine whether the sequence −223; − 689; − 20827; −63281 is arithmetic, geometric, or neither.
Expert Solution & Answer
Answer to Problem 80STP
The sequence is neither.
Explanation of Solution
Given:
The sequence:−223; − 689; − 20827; −63281
Concept Used:
A sequence is a set of numbers, called terms, arranged in some particular order.
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference.
A geometric sequence is a sequence with the ratio between two consecutive terms constant.
Calculation:
First Term: a1=1
Common Difference for Arithmetic sequence:
d=2nd term−1st term = −689−(−222)=−29 or d=3rd term−2nd term = −20827−(−689)=−427
The common differences are not constant, so the sequence is not arithmetic.
Common Ratio for Geometric sequence: r = 2nd term1st term= −689−223 =3433 or r = 3rd term2nd term= −20827−689 =5251
The common ratios are not constant, so the sequence is not geometric.
Thus, the sequence is neither.
Chapter 11 Solutions
Algebra 2
Ch. 11.1 - Prob. 1ACYPCh. 11.1 - Prob. 1BCYPCh. 11.1 - Prob. 2CYPCh. 11.1 - Prob. 3CYPCh. 11.1 - Prob. 4ACYPCh. 11.1 - Prob. 4BCYPCh. 11.1 - Prob. 5CYPCh. 11.1 - Prob. 6ACYPCh. 11.1 - Prob. 6BCYPCh. 11.1 - Prob. 6CCYP
Ch. 11.1 - Prob. 1CYUCh. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 3CYUCh. 11.1 - Prob. 4CYUCh. 11.1 - Prob. 5CYUCh. 11.1 - Prob. 6CYUCh. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10CYUCh. 11.1 - Prob. 11CYUCh. 11.1 - Prob. 12CYUCh. 11.1 - Prob. 13CYUCh. 11.1 - Prob. 14CYUCh. 11.1 - Prob. 15CYUCh. 11.1 - Prob. 16CYUCh. 11.1 - Prob. 17CYUCh. 11.1 - Prob. 18CYUCh. 11.1 - Prob. 19CYUCh. 11.1 - Prob. 20CYUCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28PPSCh. 11.1 - Prob. 29PPSCh. 11.1 - Prob. 30PPSCh. 11.1 - Prob. 31PPSCh. 11.1 - Prob. 32PPSCh. 11.1 - Prob. 33PPSCh. 11.1 - Prob. 34PPSCh. 11.1 - Prob. 35PPSCh. 11.1 - Prob. 36PPSCh. 11.1 - Prob. 37PPSCh. 11.1 - Prob. 38PPSCh. 11.1 - Prob. 39PPSCh. 11.1 - Prob. 40PPSCh. 11.1 - Prob. 41PPSCh. 11.1 - Prob. 42PPSCh. 11.1 - Prob. 43PPSCh. 11.1 - Prob. 44PPSCh. 11.1 - Prob. 45PPSCh. 11.1 - Prob. 46PPSCh. 11.1 - 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Fill in each blank so that the resulting statement is true. Any set of ordered pairs is called a/an ____.The se...
Algebra and Trigonometry (6th Edition)
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