Express the Sum Using Summation Notation $$4 ^ { 2 } + 8 ^ { 3 } + 12 ^ { 4 } + \ldots + 32 ^ { 9 }$$

question 145

Multiple Choice

Express the sum using summation notation.
- $$4 ^ { 2 } + 8 ^ { 3 } + 12 ^ { 4 } + \ldots + 32 ^ { 9 }$$

• A) \(\sum _ { \mathrm { k } = 1 } ^ { 8 } 4 \mathrm { k } ^ { 2 \mathrm { k } - 1 }\)
• B) \(\sum _ { k = 1 } ^ { 8 } ( 4 k ) ^ { k }\)
• C) \(\sum _ { k = 1 } ^ { 8 } 2 ( k - 1 ) ^ { \mathrm { k } + 1 }\)
• D) \(\sum _ { k = 1 } ^ { 8 } ( 4 k ) ^ { k + 1 }\)

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Definitions:

Null Hypothesis

A statement positing that there is no significant effect or difference for a specific population parameter.

Positive Relationship

Relationship in which increases in scores for one variable are associated with increases in scores of another variable.

Population Means

The average value of a particular variable for the entire population, which provides a parameter that can be estimated through the use of sample means.

Pearson Correlation

A measure of the linear correlation between two variables X and Y, giving a value between +1 and -1 inclusive.