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:

Vitamin Deficiency

Vitamin deficiency occurs when there is an insufficient intake or absorption of vitamins, leading to various health disorders and diseases.

Water-Soluble Vitamin

Vitamin, such as B complex and C, that is absorbed with water from the intestinal tract.

Vitamin C

An essential nutrient known for its antioxidant properties and role in collagen synthesis.

Acid-Base Balance

The regulation of the pH levels in bodily fluids, crucial for the body's overall functioning.