Express the Sum Using Summation Notation $$( a + 1 ) + ( a + b ) + \left( a + b ^ { 2 } \right) + \ldots + \left( a + b ^ { n } \right)$$

question 105

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation.
- $$( a + 1 ) + ( a + b ) + \left( a + b ^ { 2 } \right) + \ldots + \left( a + b ^ { n } \right)$$

• A) \(\sum _ { k = 1 } ^ { n } \left( a + b ^ { k } \right)\)
• B) \(\sum _ { k = 0 } ^ { n - 1 } \left( a + b ^ { k } \right)\)
• C) \(\sum _ { k = 0 } ^ { n } \left( a + b ^ { k } \right)\)
• D) \(\sum _ { k = 0 } ^ { n } a b ^ { k }\)

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Definitions:

Migration

The movement of organisms from one place to another, often cyclically or seasonally, driven by various factors such as food, climate, or breeding.

Genetic Distance

Genetic distance is a measure of how different populations are from each other genetically. Genetic distance can inform population geneticists about levels of inbreeding within a population or about the historic relationships between populations or species.

Population

A group of individuals of the same species living in the same area at the same time, capable of interbreeding.

Time Separated

A phenomenon or process that is distinguished by a period of time, leading to a divergence in development or outcome.