A Sequence $S _ { 1 } , S _ { 2 } , S _ { 3 }$

question 5

Essay

A sequence $S _ { 1 } , S _ { 2 } , S _ { 3 }$ ... is defined recursively as follows: $$\begin{array} { l } s _ { k } = 5 s _ { k - 1 } + \left( s _ { k - 2 } \right) ^ { 2 } \quad \text { for all integers } k \geq 3 \\s _ { 1 } = 4 \\s _ { 2 } = 8\end{array}$$ Use (strong) mathematical induction to prove that sn is divisible by 4 for all integers $$n \geq 1$$

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Withdrawals

Refers to the act of taking money out of a bank account or the removal of funds from a business by its owner for personal use.

Accounts Payable

The amount of money a company owes to its suppliers or vendors for goods or services received but not yet paid for.

Unearned Revenue

Money received by a company for goods or services yet to be delivered or performed, recognized as a liability on the balance sheet.

Prepaid Expenses

Payments made in advance for goods or services to be received in the future, considered an asset on the balance sheet until utilized.