Express the Sum Using Summation Notation A) $\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 7 ^ { 2 + k } }$

question 11

Multiple Choice

Express the sum using summation notation.
- $\frac { 5 ^ { 14 } } { 7 ^ { 3 } } + \frac { 5 ^ { 13 } } { 7 ^ { 4 } } + \frac { 5 ^ { 12 } } { 7 ^ { 5 } } + \ldots + \frac { 5 ^ { 7 } } { 7 ^ { 10 } }$

• A) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 7 ^ { 2 + k } }\)
• B) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { - k } } { 7 ^ { 2 + k } }\)
• C) \(\sum _ { k = 1 } ^ { 4 } \frac { 5 ^ { 15 + k } } { 7 ^ { 2 + k } }\)
• D) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 7 ^ { k } }\)

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Definitions:

Talk Test

A method used to gauge exercise intensity by measuring the ease with which one can speak during physical activity.

Moderate-Intensity Exercise

Physical activity that is somewhat hard and increases the heart rate and breathing, such as brisk walking or cycling.

Oxygen Consumption

The use of oxygen by the body during physical activity or metabolism, often used as a measure of physical fitness or the effectiveness of aerobic exercise.

Peak Exercise

The highest level of intensity and effort an individual can sustain during physical activity without significant fatigue or exhaustion.