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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