4
AssignmentMultiple Choice

Analyzing Tables

Question 4 • GA-Algebra: Concepts and Connections CR

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answer
A
f(n + 1) = f(n) + 99.4, n ≥ 1
B
f(n + 1) = f(n) – 99.4, n ≥ 1
C
f(n + 1) = 99.4f(n), n ≥ 1
D
f(n + 1) = –99.4f(n), n ≥ 1

Explanation

Each term is 99.4 less than the term before it: 0 − 99.4 = −99.4, and −99.4 − 99.4 = −198.8. So the recursive rule is to subtract 99.4 each time, starting with f(1) = 99.4. Choice B gives this rule.

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