SOLUTION: Using the following sequence (-1,-5,-9,-13,...) find the function tn.

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Question 120256: Using the following sequence (-1,-5,-9,-13,...) find the function tn.
Found 2 solutions by stanbon, bucky:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Using the following sequence (-1,-5,-9,-13,...) find the function tn.
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Since the common difference is d = -4 and since a(1)=-1,
a(n) = -1 + (n-1)(-4)
a(n) = -1 -4n+4
a(n) = 3-4n
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Cheers,
Stan H.

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given the sequence (-1, -5, -9, -13, ...)
.
To find the function, first note that the difference between terms is -4 which has to be
added to the preceding term to get the next term in the series.
.
The first term is -1. So you can say that it equals 3 + (-4*1). The second term is then equal
to 3 + (-4*2) and the third term is 3 + (-4*3) and so on.
.
Therefore, to calculate t%5Bn%5D you can use the relationship:
.
t%5Bn%5D+=+-4%2An+%2B+3
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where n represents the sequence number of the term you are looking for in the series. For example,
to find the 6th term in the series, substitute 6 for n and you have:
.
t%5B6%5D+=+-4%2A6+%2B+3+=+-24+%2B+3+=+-21
.
Hope this helps you to understand the problem and shows you a thought process that will
lead you to the answer.
.