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There is only one type of arithmetic sequence.
The sequence may be defined by a "position-to-value" rule. This would be of the form:
U(n) = a + n*d
where a a constant which equals what the 0th term in the sequence would be,
d is also a constant - the common difference between each term in the sequence and the preceding term.
and n is a variable that is a counter for the position of the term in the sequence.
The same sequence can be defined iteratively by:
U(0) = a
U(n+1) = U(n) + d for n = 1, 2, 3, ...
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What is a infinite arithmetic sequence?
It is an arithmetic sequence for which the index goes on and on (and on).
What is the type of sequence where the terms in the sequence are found by adding the same number each time?
That's an arithmetic sequence.
Is 13 17 21 25 29 a geomertic sequence or a arithmetic sequence?
Arithmetic
Does the terms of an arithmetic sequence have a common ratio?
No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.
How do you determine a arithmetic sequence?
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
