Chapter 8 College Algebra Review
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Series
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ai=a1+a2+a3+......an
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The Sum of a Finite Arithmetic Sequence
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Sn=n/2(a1+an)
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Sequence
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a1,a2,a3,.......an
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Sum of an Infinite Geometric Series
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S=Ea1r^i=a1/1-r
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nth Term of a Geometric Sequence
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an=a1r^n-1
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Sum of Fourth Power of Integers
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n(n+1)(2n+1)(3n^2+3n-1)/30
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nth Term of an Arithmetic Sequence
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an=dn+c OR an=a1+(n-1)d
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Sum of the Fifth Power of Integers
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n^2(n+1)^2(2n^2+2n-1)/12
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Common Difference : Common Ratio
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d:r
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Sum of the First Powers of Integers
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n(n+1)/2
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n!
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1 x 2 x 3 x 4......n
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Sum of the Second Powers of Integers
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n(n+1)(2n+1)/6
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Sum of the Third Powers of Integers
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n^2(n+1)^2
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Sum of an Finite Geometric Series
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Sn=Ea1r^n-1=a1(1-r^n/1-r)