Sequences Flashcards

1
Q

Arithmetic

A

Each term is found by adding a fixed value to the preceding term

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2
Q

Geometric

A

Each term is found by multiplying the preceding term by a fixed value

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3
Q

Meaning if letters
a=?
n=?
a^n=?
d=?
r=?

A

a= term
n= number of terms
a^n= nth term
d= common difference (arithmetic)
r= common ratio (geometric)

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4
Q

Recursive formula arithmetic

A

a1=

an = an-1 + d

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5
Q

Recursive formula geometric

A

a1=

an = an-1r

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6
Q

Explicit formula arithmetic

A

an= a + (n - 1) d

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7
Q

Explicit formula geometric

A

is a n = a1•r^n − 1

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