Use Mathematical Induction to Solve for All Positive Integers N $\sum _ { i = 1 } ^ { n } i ( i + 4 ) = ?$

question 22

Multiple Choice

Use mathematical induction to solve for all positive integers n. $\sum _ { i = 1 } ^ { n } i ( i + 4 ) = ?$

• A) \(\frac { n ( 2 n + 13 ) } { 6 }\)
• B) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 4 }\)
• C) \(\frac { n ( n + 1 ) ( n + 13 ) } { 6 }\)
• D) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 6 }\)
• E) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 2 }\)

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Definitions:

Bad Debts Expense

The cost associated with accounts receivable that a company does not expect to collect.

Accounts Receivable

Money owed to a business by its customers for products or services that have been delivered but not yet paid for.

Allowance for Doubtful Accounts Method

The allowance for doubtful accounts method involves estimating and deducting the amount of receivables that may not be collected from the accounts receivable balance.

Accounts Receivable

Pending payments to a company from its customers for merchandise or services that have already been given.