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:

Real Rate

The interest rate adjusted for inflation, reflecting the true return on an investment over time.

Dividend

A portion of a company's earnings that is distributed to shareholders, usually in the form of cash payments or additional shares.

Geometric Average

A method of calculating the average rate of return that accounts for compounding by taking the nth root (where n is the count of numbers) of the product of the values.

Arithmetic Average

A simple mean calculated by adding a set of numbers and dividing the sum by the count of those numbers, used to determine central tendencies.