Use Mathematical Induction to Solve for All Positive Integers N $3 + 8 + 13 + 18 + \ldots + ( 5 n - 2 ) = ?$

question 175

Multiple Choice

Use mathematical induction to solve for all positive integers n. $3 + 8 + 13 + 18 + \ldots + ( 5 n - 2 ) = ?$

• A) \(\frac { n } { 6 } ( 5 n + 1 )\)
• B) \(n ( 5 n + 1 )\)
• C) \(\frac { n } { 2 } ( 5 n + 1 )\)
• D) \(\frac { n } { 4 } ( 5 n + 1 )\)
• E) \(5 n + 1\)

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Definitions:

Early Reflexes

Innate responses present from birth that aid in survival, such as the rooting and sucking reflexes that facilitate feeding in infants.

Function

A relation or expression that describes how one variable (the dependent variable) is related to one or more other variables (independent variables).

Cry Less

Refers to situations or individuals that exhibit a reduced frequency or intensity of crying compared to a standard or expected level.

Coordination

The harmonious functioning of parts for effective or efficient outcomes, often referring to movements or processes within an organism or group.