Write the Sum Without Sigma Notation and Evaluate It $$\sum _ { k = 1 } ^ { 2 } \frac { 4 k } { k + 9 }$$

question 256

Multiple Choice

Write the sum without sigma notation and evaluate it.
- $$\sum _ { k = 1 } ^ { 2 } \frac { 4 k } { k + 9 }$$

• A) \(\frac { 4 } { 1 + 9 } + \frac { 8 } { 2 + 9 } = \frac { 16 } { 55 }\)
• B) \(\frac { 4 } { 1 + 9 } + \frac { 4 } { 2 + 9 } = \frac { 42 } { 55 }\)
• C) \(\frac { 4 } { 1 + 9 } + \frac { 8 } { 2 + 9 } = \frac { 4 } { 7 }\)
• D) \(\frac { 4 } { 1 + 9 } + \frac { 8 } { 2 + 9 } = \frac { 62 } { 55 }\)

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Definitions:

Photosynthetic Pathway

The series of biochemical reactions in plants and other photosynthetic organisms that capture and convert light energy into chemical energy, culminating in the production of oxygen and glucose.

Light-Dependent Reactions

The phase of photosynthesis where sunlight is captured by chlorophyll and other pigments, generating ATP and NADPH through the photolysis of water.

Carbon Fixation

Carbon fixation is the process by which inorganic carbon (typically carbon dioxide) is converted into organic compounds by living organisms, notably in photosynthesis.

Mesophyll Cells

Photosynthetic cells located in the interior of leaves, between the upper and lower epidermis, responsible for the production of plant's food through photosynthesis.