ACT Math Formulas Flashcards

1
Q

What is Pi(r^2)

A

The area of a circle

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2
Q

What is the area of a circle

A

A=Pi(r^2)

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3
Q

What is 2Pir=Pid

A

Circumference
(When d=diameter)

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4
Q

What is the circumference equation

A

C=2Pir=Pid

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5
Q

Area of a triangle

A

A=1/2bh

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6
Q

What does A=1/2bh solve

A

Area of a triangle

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7
Q

Pythagorean theorem

A

a^2+b^2=c^2

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8
Q

What does a^2+b^2=c^2 solve

A

The hypotenuse of a triangle

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9
Q

A of n= A of 1(r)^n-1

A

Geometric sequence (nth term)

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10
Q

Geometric sequence (nth term)

A

A of n= A of 1(r)^n-1

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11
Q

Arithmetic sequence (nth term)

A

a of n= a of n-1 + d
Or: a of n = a+ (n-1)d

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12
Q

a of n= a of n-1 + d
Or: a of n = a+ (n-1)d

A

Arithmetic sequence (nth term)

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13
Q

Common difference

A

D= a of 2 — a of 1

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14
Q

Sum of Geo Sequence terms

A

s of n= (A of 1(r)^n-1))/ r-1

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15
Q

Sum of infinite geo sequence

A

s of infinity = a/1-r

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16
Q

Sum of n terms of arithmetic sequence

A

S of n = (n/2)[ a of 1 + a of n]
Or: S of n = (N/2)[ 2a+(n-1)d]