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QuizMultiple Choice

Special Linear Relationships — Quiz

Question 1 • Mathematics I

Which sequence is generated by the function f of open paren n plus 1 close paren is equal to f of n minus 2 for f of 1 is equal to 10 ?

Answer
A
negative 10 comma negative 12 comma negative 14 comma negative 16 comma negative 18 comma dot dot dot
B
negative 2 comma 8 comma 18 comma 28 comma 38 comma dot dot dot
C
10 comma 8 comma 6 comma 4 comma 2 comma dot dot dot
D
8 comma 18 comma 28 comma 38 comma 48 comma dot dot dot

Explanation

The recurrence says each term is 2 less than the term before it: f(n + 1) = f(n) − 2. Starting with f(1) = 10, the sequence is 10, 8, 6, 4, 2, and so on. This matches choice C, the sequence beginning 10, 8, 6, 4, 2.

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