Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 11.1, Problem 64HP
To determine
Find next term of the sequence 8, 6, 92, 278,.....
Expert Solution & Answer
Answer to Problem 64HP
Option D is correct.
Explanation of Solution
Given:
The sequence:8, 6, 92, 278,.....
Concept Used:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.
The ration of 2nd term and first term is called the common ratio.
Calculation:
The sequence:8, 6, 92, 278,.....
Each term in a geometric sequence can be expressed in terms of the first term a1 and the common ratio r . Since each succeeding term is formulated from one or more previous terms, this is a recursive formula. First term a1=8 and the common difference:r = 2nd term1st term= 68 =34
| Terms | Symbol | In terms of a1and r | Numbers |
| Fifth term | a5 | a1 · r4 | 8 · (34)4=8 · (81256)=8132 |
The next term of the sequence 8, 6, 92, 278,..... is 8132
Thus, the next term is: 8132 ; Option D is correct.
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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