Express the Sum Using Summation Notation $$5 ^ { 2 } + 10 ^ { 3 } + 15 ^ { 4 } + \ldots + 40 ^ { 9 }$$

question 71

Multiple Choice

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation.
- $$5 ^ { 2 } + 10 ^ { 3 } + 15 ^ { 4 } + \ldots + 40 ^ { 9 }$$

• A) \(\sum _ { i = 1 } ^ { 8 } ( 5 i ) ^ { i +1 } \)
• B) \(\sum _ { \mathrm { i } = 1 } ^ { 8 } ( 5 \mathrm { i } ) ^ { \mathrm { i } }\)
• C) \(\sum _ { i = 1 } ^ { 8 } 5 i ^ { 2 i - 1 }\)
• D) \(\sum _ { \mathrm { i } = 1 } ^ { 8 } 2 ( \mathrm { i } - 1 ) ^ { \mathrm { i +1 } } \)

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Definitions:

Monopoly

A firm that is the sole seller of a product without any close substitutes.

Game Theory

The study of how people behave in strategic situations

Competitive Markets

Markets in which there are many buyers and sellers so that each has a negligible impact on the market price of goods and services.

Monopoly Markets

Markets in which a single seller dominates, with no viable competition, often leading to higher prices for consumers.