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 233

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

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Definitions:

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The degree of hotness or coldness of a body or environment, typically measured in degrees Celsius (°C), Fahrenheit (°F), or Kelvin (K).

Ultraviolet Radiation

Electromagnetic radiation with a wavelength shorter than that of visible light, but longer than X-rays.

Ozone

A reactive form of oxygen consisting of three oxygen atoms (O3), found in the Earth's stratosphere, it plays a crucial role in absorbing most of the sun's harmful ultraviolet radiation.

Boundary Conditions

Constraints or limits that define the state or parameters for a particular system or problem.