To identify: The type of sequence the graph represents:
The options are:
The correct option is
Given information:
The given graph is:
Explanation:
Consider the given graph,
It can be seen from the graph that it is an exponential curve slopping downwards.
If a graph of an arithmetic sequence is considered then it can be said that an arithmetic sequence forms a straight line. Thus it can be said that the graph does not represents an arithmetic sequence.
Similarly, if a graph of a geometric sequence is considered then it can be said that a geometric sequence with a common ratio
But in the given graph it can be seen that the curve slopes downwards. So, it can be said that r lies between 0 and 1.
Thus it can be said that the graph represents a geometric sequence
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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