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A sequence is an ordered __________ of numbers.
list
The convergence or divergence of a sequence can be determined by examining its __________.
limit
An arithmetic sequence has a __________ difference between consecutive terms, found by subtracting __________ term from the __________ term.
common, previous, subsequent
A geometric sequence has a __________ ratio between consecutive terms, found by dividing __________ term by the __________ term.
common, subsequent, previous
The explicit rule for the nth term of an arithmetic sequence can be found using the formula __________.
a + (n-1)d
The explicit rule for the nth term of a geometric sequence can be found using the formula __________.
ar^(n-1)
A series is the __________ of the terms in a sequence.
sum
The sum of a series is the __________ to which the sequence of its partial sums __________.
limit, converges
A geometric series converges if the absolute value of the common ratio, |r|, is __________ than 1.
less
The nth term test states that if a series converges, then its nth term must approach __________.
zero
A Maclaurin series is a __________ series expansion of a function about __________.
Taylor, zero
The Maclaurin series for sin x is __________.
x - x^3/3! + x^5/5! - x^7/7! + ....
The Maclaurin series for cos x is __________.
1 - x^2/2! + x^4/4! - x^6/6! + ....
A Taylor polynomial is a __________ sum of a Taylor series, providing an approximation of a function.
partial
