Write the Series Using Summation Notation $$\frac { 3 } { 1 \cdot 2 } + \frac { 4 } { 2 \cdot 3 } + \frac { 5 } { 3 \cdot 4 } + \frac { 6 } { 4 \cdot 5 } + \frac { 7 } { 5 \cdot 6 }$$

question 166

Multiple Choice

Write the series using summation notation.
- $$\frac { 3 } { 1 \cdot 2 } + \frac { 4 } { 2 \cdot 3 } + \frac { 5 } { 3 \cdot 4 } + \frac { 6 } { 4 \cdot 5 } + \frac { 7 } { 5 \cdot 6 }$$

• A) \(\sum _ { i = 1 } ^ { 5 } \frac { i } { i ( i + 1 ) }\)
• B) \(\sum _ { i = 1 } ^ { 5 } \frac { i + 2 } { i ( i - 1 ) }\)
• C) \(\sum _ { i = 1 } ^ { 5 } \frac { i + 2 } { i ( i + 1 ) }\)
• D) \(\sum _ { i = 1 } ^ { 5 } \frac { i - 2 } { i ( i + 1 ) }\)

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Definitions:

Granite

A very hard, granular, crystalline, intrusive igneous rock consisting mainly of quartz, mica, and feldspar; commonly used in buildings for its strength and durability.

Nuclear Fusion

The combination, or fusion, of two nuclei to form a heavier nucleus, in the process releasing a large amount of energy.

Atoms

The basic units of matter, consisting of a nucleus surrounded by electrons.

Hydrogen

The simplest and most abundant element in the universe, consisting of just one proton and one electron, and a primary component in water and organic compounds.