82849
AssignmentMultiple Choice

Special Linear Relationships

Question 82849 • AZ-Algebra 1A (MA101)

This sequence represents the diameters of circles used to create an art project:2.5 cm, 3.1 cm, 3.7 cm, 4.3 cmLet f(n) represent diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?

Answer
A
f(n) = 0.6n + 1.9
B
f(n) = 0.6n + 2.5
C
f(n + 1) = f(n) + 1.9
D
f(n + 1) = f(n) – 0.6

Explanation

Each diameter increases by 0.6 cm, so the sequence is arithmetic with common difference 0.6. Since the first term is 2.5 cm at n = 1, the rule is f(n) = 2.5 + 0.6(n − 1), which simplifies to f(n) = 0.6n + 1.9. Therefore, choice A is correct; choice B would give 3.1 cm for the first term.

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