Algebra II Formula Sheet

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Algebra II Formula Sheet. 2009 Mathematics Standards of Learning. S = 2. 1. 1 a n d. −. (. ) ⎡. ⎣⎢. ⎤. ⎦⎥. Sequence and Series Formulas: n r. Permutations and.
Algebra II Formula Sheet 2009 Mathematics Standards of Learning Geometric Formulas: s h

w s b

A

p A

1 bh 2

b

l

4s

s

c

a

p A

2

2l

2w

2

c2

n and r are positive integers and n n! n Pr ( n r )!

r,

a

2

b

lw

Quadratic Formula:

b2 2a

b

x

4 ac

, where ax2

bx

c

0 and a

Permutations and Combinations Formulas:

Statistics Formula: Given: x represents an element of the data set, represents the mean of the data set, and represents the standard deviation of the data set

If

x

z-score ( z )

0

nCr

n! r!( n r )!

Sequence and Series Formulas: Given: an represents the value of nth term

Sn represents the sum of first n terms S⬁ represents the sum of an infinite geometric series r represents the common ratio d represents the common difference

Arithmetic

an

a1

an

an

n

Geometric

(n 1

Sn

2

Sn

n 2a 1

2

( a1

1)d

d

an )

n 1 d

an

a1r n

1

an

an

r

Sn

a1 (1 r n ) ,r (1 r )

S⬁

1

a1 (1

r)

,

r

1 1

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