Is there a term-to-term rule for the sequence below?
18 , 22 , 26 , 30
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Is there a term-to-term rule for the sequence below?
18 , 22 , 26 , 30
To solve this problem, we'll check the differences between consecutive terms:
All differences between consecutive terms are , indicating a constant increment. Thus, the sequence is arithmetic with a common difference of .
The term-to-term rule is: to get the next term, add to the current term.
Therefore, yes, there is a term-to-term rule for this sequence, given by adding to the previous term.
Yes
Is there a term-to-term rule for the sequence below?
18 , 22 , 26 , 30
A term-to-term rule tells you how to get from one term to the next in a sequence. For this sequence, the rule is add 4 to the previous term to get the next one.
Calculate the difference between each pair of consecutive terms. If all differences are the same number, then you have a constant difference and an arithmetic sequence!
Then there's no simple term-to-term rule for that sequence. You might need to look for other patterns, like second differences or geometric relationships.
Absolutely! Once you know the rule is add 4, you can find any term: the 5th term would be 30 + 4 = 34, the 6th term would be 34 + 4 = 38, and so on.
That's perfectly fine! A negative common difference means the sequence is decreasing. For example, if differences are all -3, your rule would be subtract 3 from the previous term.
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