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

question 27

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:

Spacing Effect

The phenomenon whereby learning is facilitated when study sessions are spaced out over time instead of being crammed into one session.

Implicit Memory

A type of memory that enables us to perform tasks without conscious awareness of these previous experiences.

Explicit Memory

A type of long-term memory that involves conscious recollection of previous experiences or information.

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A part of the brain at the back of the skull in vertebrates, which coordinates and regulates muscular activity.