Express the Sum Using Summation Notation $$3 + 12 + 27 + \ldots + 75$$

question 217

Multiple Choice

Express the sum using summation notation.
- $$3 + 12 + 27 + \ldots + 75$$

• A) \(\sum _ { k = 1 } ^ { 5 } 3 ^ { 2 } \mathrm { k }\)
• B) \(\sum _ { k = 0 } ^ { 5 } 3 k ^ { 2 }\)
• C) \(\sum _ { k = 1 } ^ { 5 } k ^ { 2 }\)
• D) \(\sum _ { k = 1 } ^ { 5 } 3 k ^ { 2 }\)

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Definitions:

Synthesis Reactions

Chemical reactions in which two or more substances combine to form a more complex product.

Catabolism

The breakdown of complex molecules into smaller units, releasing energy in the process.

Anabolism

The aspect of metabolism that involves the creation of complex molecules from simpler ones, leading to growth.

Hydrolysis

A chemical reaction where water is used to break down the bonds of a compound, resulting in the decomposition of that compound into its constitutive elements or simpler compounds.