a. Simplify the following products. (1 − r) (1 + r) = 1-r^2 (1 − r) (1 + r + r²) = = -r^3+1 (1 − r)(1+r+r² + p³) : = (1 − r) (1 + r + r2 + p3 + -r^4+1 + p) ... + pn = = = b. Using what you calculated above, find a closed-form expression for the following finite s 1+r+r²+p³ +

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(See image.)

a. Simplify the following products.

(1 - r)(1 + r + r2 + r3 + ... + rn = ___

b. Using what you calculated above, find a closed form expression for the following finite sum.

1 + r + r2 + r3 + ... + rn = ___

(Only need help with the last two questions, thanks!)

a. Simplify the following products.
(1 − r)(1 + r) = 1-r^2
(1r)(1+r+p²) = -r^3+1
(1 − r) (1 + r + x² +p³):
(1 − r)(1 + r + x2
·p³ +
=
+ pr
-r^4+1
+ pn)
b. Using what you calculated above, find a closed-form expression for the following finite sum.
1+r+p² + ³ +
=
=
Transcribed Image Text:a. Simplify the following products. (1 − r)(1 + r) = 1-r^2 (1r)(1+r+p²) = -r^3+1 (1 − r) (1 + r + x² +p³): (1 − r)(1 + r + x2 ·p³ + = + pr -r^4+1 + pn) b. Using what you calculated above, find a closed-form expression for the following finite sum. 1+r+p² + ³ + = =
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