a. Consider the arithmetic sequence 5, 7,9,11,13, . . . Let y be the entry in position x. Explain in detail how to reason about the way the sequence grows to derive an equation of the form y = m ⋅ x + b where m and b are specific numbers related to the sequence. b. Sketch a graph for the arithmetic sequence in part (a). Discuss how features of the graph are related to the components of your equation m part (a) and to the way the sequence grows
a. Consider the arithmetic sequence 5, 7,9,11,13, . . . Let y be the entry in position x. Explain in detail how to reason about the way the sequence grows to derive an equation of the form y = m ⋅ x + b where m and b are specific numbers related to the sequence. b. Sketch a graph for the arithmetic sequence in part (a). Discuss how features of the graph are related to the components of your equation m part (a) and to the way the sequence grows
Solution Summary: The author explains how to derive an equation of the form y=mcdot x+b and the rate or the common difference.
Let y be the entry in position x. Explain in detail how to reason about the way the sequence grows to derive an equation of the form
y
=
m
⋅
x
+
b
where m and b are specific numbers related to the sequence.
b. Sketch a graph for the arithmetic sequence in part (a). Discuss how features of the graph are related to the components of your equation m part (a) and to the way the sequence grows
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