Arithmetic and Geometric Sequences and Series

Front

What is the general term of an Arithmetic Sequence?

Back

an = a1 + (n-1)d

Front

What is the formula for the first term of an Arithmetic Sequence?

Back

a1 = an - (n-1)d

Front

How do you calculate the number of terms (n) in an Arithmetic Sequence?

Back

n = (an - a1) / d + 1

Front

What is the formula for the common difference (d) in an Arithmetic Sequence?

Back

d = (an - a1) / (n - 1)

Front

What is the formula for the Arithmetic Means?

Back

d = (an - ai) / (n - 1) and m = (a1 + a3) / 2

Front

What is the formula for the sum of an Arithmetic Series when an is not given?

Back

Sn = n/2 (a1 + an)

Front

What is the formula for the sum of an Arithmetic Series when an is given?

Back

Sn = n/2 [2a1 + (n-1)d]

Front

What is the general term of a Geometric Sequence?

Back

an = a1 (r)^(n-1)

Front

What is the formula for the first term of a Geometric Sequence?

Back

a1 = an / (r)^(n-1)

Front

How do you calculate the common ratio (r) in a Geometric Sequence?

Back

r = (n-1)√(an/a1)