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Level 630

Arithmetic & Geometric Series & Sequences


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Arithemetic
Series or sequence in which there is a common difference.
geometric
A _______________________ sequence is built by MULTIPLYING the same value to the last term.
a_n=a_(n-1)+d
Arithmetic Sequence: Recursive
a_n=a_1+(n-1)d
Arithmetic Sequence: Explicit
a_n=a_(n-1)*r
Geometric Sequence: Recursive
a_n=a_1*r^(n-1)
Geometric Sequence: Explicit
S_n=(n/2)(a_1+a_n)
Arithmetic Series: Sum
S_n=(a_1-r^n)/(1-r)
Finite Geometric Series: Sum
S=(a_1)/(1-r)
Infinite Geometric Series: Sum