A Recursion Formula and the Initial Term(s) of a Sequence $$a _ { 1 } = 1 , a _ { n + 1 } = \frac { a _ { n } } { n + 6 }$$

question 119

Multiple Choice

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
- $$a _ { 1 } = 1 , a _ { n + 1 } = \frac { a _ { n } } { n + 6 }$$

• A) \(1 , \frac { 1 } { 7 } , \frac { 7 } { 8 } , \frac { 8 } { 9 } , \frac { 9 } { 10 }\)
• B) \(1 , \frac { 1 } { 7 } , 56 , \frac { 1 } { 504 } , 5040\)
• C) \(1 , \frac { 1 } { 7 } , \frac { 1 } { 56 } , \frac { 1 } { 504 } , \frac { 1 } { 5040 }\)
• D) \(1 , \frac { 1 } { 7 } , \frac { 1 } { 8 } , \frac { 1 } { 9 } , \frac { 1 } { 10 }\)

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Definitions:

Marginal Productivity Theory

An economic principle that asserts the payment factors of production, like labor and capital, is based on their marginal productivity in the production process.

Wage Differences

The variation in pay for employment that may arise from factors like occupation, experience, education, and sometimes gender or ethnicity.

Median Earnings

The middle value of earnings in a given distribution, such that half of the population earns more and the other half earns less.

Labor Market

The supply of available workers in relation to available work.