Sequences PPT
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A sequence is a set of numbers,
called terms, arranged in some
particular order.
Sequences
An arithmetic sequence is one in which
the same number is added or subtracted
from each element to get the next
element in the sequence.
The difference is called the common
difference.
Arithmetic Sequence
In a geometric sequence, each term is
equal to the previous term, multiplied (or
divided by) a constant.
This ratio is called the common ratio.
To find the common ratio, divide the
second term by the first term.
Geometric Sequence
Arithmetic formula:
tn = t1 + (n - 1)d
◦ tn is the nth term, t1 is the first term, and d
is the common difference.
Geometric formula:
tn = t1 . r(n - 1)
◦ tn is the nth term, t1 is the first term, and r
is the common ratio.
Formulas for Sequences