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

question 41

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) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 2 }\)

Distinguish between the effects of various neurological disorders on memory.

Describe how memory is assessed and the processes involved in information encoding and retrieval.

Analyze the impact of emotional states on memory encoding and retrieval.

Understand the mechanics of effortful and automatic processing in memory.

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