Express the Sum Using Summation Notation $$1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$$

question 61

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation.
- $$1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$$

• A) \(\sum _ { k = 0 } ^ { 7 } k ^ { 5 }\)
• B) \(\sum _ { k = 1 } ^ { 7 } k ^ { 5 }\)
• C) \(\sum _ { k = 2 } ^ { 7 } ( k - 1 ) ^ { 5 }\)
• D) \(\sum _ { \mathrm { k } = 1 } ^ { \mathrm { i } } \mathrm { k } ^ { 5 }\)

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Definitions:

Ratios

A quantitative relationship between two numbers showing how many times one value contains or is contained within the other, often expressed as "a to b" or a:b.

Polling Booth

A private area in a polling station where voters go to mark their ballots during an election, ensuring the confidentiality of their vote.

Ratio

A mathematical expression that compares two numbers or quantities, showing the relative size or amount of one to the other.

Absolute Frequency

The total count of occurrences or instances of a specific event or characteristic in a data set.