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Use n = 3 and r = 1.2 for this statement

Use n = 3 and r = 1.2 for this statement

Advanced Engineering Mathematics
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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Hello there, can you help me solve this problem? 

(Mathematical Induction)

Use n = 3 and r = 1.2 for this statement. Thanks!

 

1+r+r²+ + pn: = (1-rn+1) 1-r for all nEN, where r e R\ {1}.
Transcribed Image Text:1+r+r²+ + pn: = (1-rn+1) 1-r for all nEN, where r e R\ {1}.
Expert Solution
Step 1: The LHS

Given that n = 3 and r = 1.2.

The given equation can be used when r≠1, as stated. Here, r=1.2≠1. So, this can be applied in this case.

The left-hand side of the given equation is 

1+r+r2+r3=1+(1.2)+(1.2)2+(1.2)3=5.368


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