Series and sequences equations

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1

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arithmetic sequence:

U_n= a + (n-1)d

a = first term

d = common difference

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geometric sequence:

U_ⁿ= ar^n-1

a = first term

r = common ratio

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arithmetic series:

S_n = ½ n(a+l) = ½ n [2a + (n-1) d]

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geometric series:

S_n = a(1-rⁿ) / 1-r

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Sum of geometric sequence to infinity:

A/1 -r