Question 53618: I am totally lost, Please help!!!
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:
1.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
2.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
3. Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
It is a function because there is a unique term value corresponding
to the number of each term. That means the 1st term has a value,
the 2nd has a value, etc.
The function is linear following the form f(n)=d(n-1)+a
d is the slope.
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2.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
It is exponential because f(n)=ar^(n-1); the variable is in the exponent.
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3. Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric.
Simple interest is an arithmetic sequence.
P, P+I, P+2I, P+3I, etc; where P is the original investment and I is the interest.
Compound interest is an arithmetic sequence.
P, P(1+r), P(1+r)^2, P(1+r)^3, etc.
Cheers,
Stan H.
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