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Nth Term - Finding and verifying a formula for the nth term of a sequence.


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Nth Term - Finding and verifying a formula for the nth term of a sequence.

... Nth Term - Finding and verifying a formula for the nth term of a sequence. I shall give some examples of how to go about it. If the numbers in the sequence increase in EQUAL STEPS then things are fairly straightforward. For example: 5 , 8 , 11 , 14 , 17 , ... (step length 3) 26 , 31 , 36 , 41 , 46 , ...(step length 5) 20 , 18 , 16 , 14 , 12 , ...(step length -2) First you, draw up a table, giving each term its "counter" (generally called n) n 1 2 3 4 5 . . . Term 5 8 11 14 17 . . . The common step length is 3. So the formula will be 3×n + something (You can complete this something later on) This is because, if the step length is the same for all the terms in the sequence, the formula will be of the format: step × n + something For the sequence above, the rule

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What our users think of this essay:

"This article covers the basics well, explaining clearly the methods required for determining the nth term in simple cases. Examples are given to help the reader understand how to carry out the process themselves. Harder cases are only looked at briefly, and so I doubt much can be taken from the last few paragraphs. It would have been better, I feel, to concentrate on the constant increase case and leave the harder cases alone if the writer did not intend to look into them thoroughly. TSR user: Edenr."
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