Answers AZ-Algebra 1A MA101 Special Linear RelationshipsQuestion 82849

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?f(n) = 0.6n + 1.9f(n) = 0.6n + 2.5f(n + 1) = f(n) + 1.9f(n + 1) = f(n) – 0.6

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

The diameters increase by 0.6 cm each time, so the sequence is arithmetic with common difference 0.6. Since the first term is 2.5 when n = 1, the rule must give 2.5 at n = 1. The equation f(n) = 0.6n + 1.9 does this, because 0.6(1) + 1.9 = 2.5; it is choice A.

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