Question 73888This question is from textbook college algebra
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Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.
Have a great weekend!!!
This question is from textbook college algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Yes
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Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
arithmetic is linear because a(n)=d(n-1)+a(1). d is the slope and a(1) is the
y-intercept.
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Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
geometric is exponential because a(n)=(a(1))r^(n-1)
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Give at least two real-life examples of a sequences or series.
One example should be arithmetic:
You deposit $100 in a piggy bank and add $10 dollars each week.
Your savings is an arithmetic sequence where a(1)=100 and d=10.
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the second should be geometric:
You deposit $100 in a bank and receive the money compounded at
8% annual interest applied yearly.
The value of your savings is a geometric sequence where a(1)=$100
and r=1.08
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Cheers,
Stan H.
. Explain how these examples would affect you personally.
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