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Math
Arithmetic
chapter 10
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Gravity
Series and Sequences
Terms in this set (15)
sequence
An ordered list of numbers, such as 0,1,2,3 or 2,4,6,8.
an= nth term
finite sequence
A sequence with a last term (domain with positive integers)
infinite sequence
a sequence that continues without end
Explicit Formula for Geometric Sequence
an=a1(r)^n-1
Explicit Formula for Arithmetic Sequence
an=a1+(n-1)d
Recursive Formula for Geometric Sequence
an = an-1 * r
Recursive Formula (Arithmetic)
An = An-1 + d
geometric mean
a/x=x/b (dont forget about imaginary)
series
the sum of the terms of a sequence
Ex. a1 +a2 +a3 +...
partial sum
Sn, sum of a finite series
Sum of finite arithmetic series (can never be sum of infinite arithmetic series)
Sn=n/2(a1+an)
sum of geometric series
a1(1-r^n)/1-r
sigma notation
convergent series
an infinite series with a sum (when absolute value r is less than 1)
S= a1/1-r
divergent series
an infinite geometric series that does not have a sum (when absolute value r is greater than or equal to 1)
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