Determine whether each set of ordered pairs shown below is from a geometric sequence or from an arithmetic sequence.

{ (-3, 7.5), (-2, 10), (-1, 12.5) }

a) geometric sequence

b) arithmetic sequence

Write the equation of the graph for the set of ordered pairs.

{ (1, 150), (2, 112.5), (3, 84.375) }

a) geometric sequence

b) arithmetic sequence

Write the equation of the graph for the set of ordered pairs

a) y=200 (0.75) x

b) y=-2.5x+15

c) y=200 (0.75) x

d) y2.5x+15

Question

Mathematics

Zachariah Gross

21 November, 02:17

Determine whether each set of ordered pairs shown below is from a geometric sequence or from an arithmetic sequence.

{ (-3, 7.5), (-2, 10), (-1, 12.5) }

a) geometric sequence

b) arithmetic sequence

Write the equation of the graph for the set of ordered pairs.

{ (1, 150), (2, 112.5), (3, 84.375) }

a) geometric sequence

b) arithmetic sequence

Write the equation of the graph for the set of ordered pairs

a) y=200 (0.75) x

b) y=-2.5x+15

c) y=200 (0.75) x

d) y2.5x+15

+5

Answers (1)

Know the Answer?

Sammy Yates · Answer 1

An arithmetic sequence is that which is composed of items that have common difference while the geometric sequence is that which has elements that have common ratio.

(1) arithmetic. The values of the y-coordinates have common difference of 2.5

(2) geometric. The values of the y-coordinates have common ratio of 0.75.

(1) d. y = 2.5x + 15

(2) a/c. y = 200 (0.75) x