Find an explicit formula for the following sequence, an which starts with a1=−1. −1,1/2,−1/3,1/4,−1/5,…
1 answer:
Answer:
The sequence can be represented by the formula of its nth term:
Step-by-step explanation:
Notice that we are in the presence of an alternate sequence (the values alternate from negative to positive. Therefore we need to take into account that there should be a factor "-1" raised to the "n" value for the sequence. Also, given that the sequence looks in absolute value like the harmonic sequence, we conclude upon the following general form for the "nth" term of the sequence:
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A graph for the data (time and distance) shown in the given table is plotted in the image attached below.
<h3>What is a graph?</h3>A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
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This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.
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y = 67.814x
Read more on graphs here: brainly.com/question/25875680
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