Arithmetic and geometric formulas

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1

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Arithmetic formula

a_n= a₁ + (n - 1)d

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Arithmetic sum formula

s_n = n/2 (a₁ + a_n)

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Arithmetic sum formula 2

S_n = n/2(2a₁ + (n -1)d)

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Geometric formula

a_n = a₁ r^{(n - 1)}

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Geometric sum formula

S_n= (a₁ - a₁r ⁿ)/1 - r

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Infinity sum formula

S_∞= a₁/1-r