### Mathematical Induction Problem**Problem Statement:**Using the principle of mathematical induction, prove that $5^{n+1} + 2(3^n) + 1$ is divisible by 4 whenever $n$ is a positive integer.

To prove that the expression is divisible by 4 for all positive integers n using mathematical…

Answered: la) USING THE PRINCIPLE OF MATHEMATICAL…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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### Mathematical Induction Problem

**Problem Statement:**

Using the principle of mathematical induction, prove that $5^{n+1} + 2(3^n) + 1$ is divisible by 4 whenever $n$ is a positive integer.

Expert Solution

Step 1: To prove

To prove that the expression $5 to the power of n plus 1 end exponent plus 2 left parenthesis 3 to the power of n right parenthesis plus 1$ is divisible by 4 for all positive integers $Error converting from MathML to accessible text.$ using mathematical induction, we'll follow the standard steps for an induction proof.

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