Express the Sum Using Summation Notation A) $\sum _ { k = 1 } ^ { 4 } \frac { 5 ^ { 15 + k } } { 9 ^ { 3 + k } }$

question 156

Multiple Choice

Express the sum using summation notation.
- $$\frac { 5 ^ { 14 } } { 9 ^ { 4 } } + \frac { 5 ^ { 13 } } { 9 ^ { 5 } } + \frac { 5 ^ { 12 } } { 9 ^ { 6 } } + \ldots + \frac { 5 ^ { 7 } } { 9 ^ { 11 } }$$

• A) \(\sum _ { k = 1 } ^ { 4 } \frac { 5 ^ { 15 + k } } { 9 ^ { 3 + k } }\)
• B) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { - k } } { 9 ^ { 3 + k } }\)
• C) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 9 ^ { k } }\)
• D) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 9 ^ { 3 + k } }\)

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Definitions:

Set-Point Theory

The theory that the body regulates its weight and energy balance through internal controls, maintaining a stable weight over time.

Basal Metabolism Rates

The rate at which the body uses energy while at rest to maintain vital functions such as breathing and keeping warm.

Dramatic Increases

Significant rises or growth in quantity, size, intensity, or level.

Bulimia Nervosa

An eating disorder marked by recurrent episodes of binge eating followed by compensatory behaviors such as purging, fasting, or excessive exercise.