Answer:
See attached picture.
Step-by-step explanation:
To graph the linear equation, convert x+y=4 into y= -x+4. This means that y= mx+b is y=-x+4. So m = -1 and b =4.
Start with b by finding 4 on the y-axis. Plot a point. Then from this point move down 1 unit and 1 unit to the right to (1,3). Plot this point. Connect the points.
Using sequences concepts, it is found that:
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
The sequence {(-3, 7.5) , (-2, 10) , (-1, 12.5)} continues with points (0, 15), (1, 17.5), and so on, hence the first term and the common ratio are given, respectively, by:
a(0) = 15, d = 2.5.
Hence the equation is:
a(n) = 15 + 2.5n.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
For the sequence {(1, 150) , (2, 112.5) , (3, 84.375)}, the first term and the common ratio are given, respectively, by:
Hence the equation is given by:
More can be learned about sequences at brainly.com/question/6561461
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