9
AssignmentMultiple Choice

Relations and Functions

Question 9 • FL-1200330-Algebra 2 Sem 1 - Flex

Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?6, 1, –4, –9, –14, …

Answer
A
f (n + 1) = f(n) + 5
B
f (n + 1) = f(n) – 5
C
f (n) = f(n + 1 ) – 5
D
f (n + 1) = –5f(n)

Explanation

Each term is 5 less than the term before it: 1 − 6 = −5, −4 − 1 = −5, and the later differences are also −5. Therefore, starting with f(1) = 6, the recursive rule is f(n + 1) = f(n) − 5, which is choice B.

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