Sequences & Series Formulas
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Sn = a1([1-rⁿ]/[1-r])
formula for the summation of a geometric series: sum = first term([1-ratio^quantity of terms]/[1-ratio])
Sn = (n/2)(a1+an)
formula for the summation of an arithmetic series: sum = (quantity of values/2)(first term + last term)
an = a∨n-1 * r
recursive formula for a geometric sequence: nth term = previous term * common ratio
an = a∨n-1 + d
recursive formula for an arithmetic sequence: nth term = previous term + common difference
an = (a1)rⁿ⁻¹
formula for a geometric sequence: output for nth term = (first term)(common ratio)^number you're plugging in - 1
an = a1 + d(n-1)
formula for an arithmetic sequence: output for nth term = first term + (common difference)(position -1)
