Series and Sequence

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Last updated 5:51 AM on 10/19/26
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17 Terms

1
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Series

Finite

2
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Sequence

Infinite

3
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Arithmetic sequence

aₙ=a₁+(n-1)d

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Arithmetic Series 1:

Sn = n/2 [2a₁+(n-1)d]

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Arithmetic Series 2:

Sn = n/2 (a1+an)

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Geometric Sequence

aₙ = a₁r^n-1

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Geometric Series

Sn=a₁ (1-r^ n / 1-r)

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Geometric infinite series

S infinite = a₁ / 1-r

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Accumulated Investment Values

A=P(1+r)^t

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A

Accumulated Investment Values

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P

Principal amount

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t

time

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n

number of terms

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d

constant difference

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r

Comstant ratio

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d

2nd - 1st

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r

2nd / 1st