Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.5, Problem 45AYU
To determine

To find: Trace the successive values of a , b and c .

Can you discover the patterns that these values follow?

Expert Solution & Answer
Check Mark

Answer to Problem 45AYU

3x + 2 2x + 1

a = 3, b = 2, c = 1 ; followed by these ( 3, 2, 1 ) values.

Explanation of Solution

Given:

1 +  1 x , 1 +  1 1 +  1 x , 1 +  1 1 +  1 1 +  1 x  

Calculation:

1 +  1 1 +  1 1 +  1 x  = 1 +  1 1 +  1 x + 1 x  = 1 +  1 1 +  x x + 1  = 1 +  1 x + 1 + x x + 1  = 1 +  x + 1 2x + 1  =  2x + 1 + x + 1 2x + 1  =  3x + 2 2x + 1

That is of the form ax + b bx + c  =  3x + 2 2x + 1 .

Here a = 3, b = 2, c = 1 ; followed by these ( 3, 2, 1 ) values.

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