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Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3³ +2°)... (32" +22")> 924 9256

Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3³ +2°)... (32" +22")> 924 9256

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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Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3° +2°)... (3²° +2²) > 9 256
Transcribed Image Text:Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3° +2°)... (3²° +2²) > 9 256
Expert Solution
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Using mathematical induction we can find the solution. Smallest n=9.

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