Question 120256
Given the sequence (-1, -5, -9, -13, ...)
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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.
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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.
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Therefore, to calculate {{{t[n]}}} you can use the relationship:
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{{{t[n] = -4*n + 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:
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{{{t[6] = -4*6 + 3 = -24 + 3 = -21}}}
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Hope this helps you to understand the problem and shows you a thought process that will
lead you to the answer.
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