Let us consider the sum, S, of the following terms: r 2 r? 3r 2r pA 2 r 3r 4 r * 2m 3 mm nr" Show that S < for n 2 1 and 0 1 i=1 (1-r)² and 0
Let us consider the sum, S, of the following terms: r 2 r? 3r 2r pA 2 r 3r 4 r * 2m 3 mm nr" Show that S < for n 2 1 and 0 1 i=1 (1-r)² and 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Let us consider the sum, S, of the following terms:
r
2 r?
3r
2r
pA 2 r
3r 4 r
* 2m 3 mm
nr"
Show that S <
for n 2 1 and 0 <r<1. [Hint: E-, iri <:
(1-r)3
for n > 1
i=1
(1-r)²
and 0 <r<1.]
N NN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F301ad561-b72b-4b90-a17c-e0d4207c422c%2F5f0d134f-3a21-467a-8d4c-f1704f5a556c%2Fcezpt2j.jpeg&w=3840&q=75)
Transcribed Image Text:Let us consider the sum, S, of the following terms:
r
2 r?
3r
2r
pA 2 r
3r 4 r
* 2m 3 mm
nr"
Show that S <
for n 2 1 and 0 <r<1. [Hint: E-, iri <:
(1-r)3
for n > 1
i=1
(1-r)²
and 0 <r<1.]
N NN
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