Use Mathematical Induction to Prove That for All Integers $n \geq 0,8 ^ { n } - 1 \text { is divisible by } 7 \text {. }$

question 6

Essay

Use mathematical induction to prove that for all integers $n \geq 0,8 ^ { n } - 1 \text { is divisible by } 7 \text {. }$

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Definitions:

Zero-Balance Account

A bank account maintained with a balance of zero, where funds are transferred to cover checks presented for payment.

Chequing Account

A bank account from which money can be withdrawn without notice, usually through the issuance of checks.

Master Account

An overarching account that has the authority and capability to control other accounts within a financial or investment framework.

Lockbox System

A service offered by banks to companies for the receipt of payment from customers, directly into a bank's post office box, to minimize the time it takes to deposit checks and access funds.