term1 Definition1term2 Definition2term3 Definition3
Please sign in to your Google account to access your documents:
What is the formula of the mth term of a arithmetic sequence and state the terms
Uₙ = a + (n - 1)d
where
a is the first term
n is the number of terms
d is the common difference
give the formula for the sum of an arithmetic series and state the terms
Sₙ = ⁿ/₂ (2a + (n + 1)d)
d is the commin difference
state the difference between a geometric and an arithmetic sequence
a geometric sequence has a common ratio (r)
ie. 2, 4, 8, 16
an arithmetic sequence has a common difference (d)
ie 2, 4, 6, 8
state the formula for the nth term of an geometric sequence and define each term
Uₙ = arⁿ⁻¹
r is the common ratio
give the formulas for the sum of the first n terms of a geometric series and define each term
Sₙ = a(1 - rⁿ) / 1 - r
Sₙ = a(rⁿ - 1) / r - 1
where a is the first term
r is the common difference
what is a divergent series
-the terms of the series are getting larger
-as n tends to infinity Sₙ also tends to infinity
|r|> 1
what is a convergent series
-the terms of the series are gettiny smaller
-as n tends to infinity Sₙ gets closer to a finite number.
- the finite number is labeled S∞
-|r|< 1
which formulas give the sum of the first n terms of a geometric series
Sₙ = a(1 - rⁿ) / 1 - r for divergent
S∞ = a / 1 - r for convergent
what are the first 4 terms of an geometric series algebreacly
a + ar + ar² + ar³
Need help typing ? See our FAQ (opens in new window)
Please sign in to create this set. We'll bring you back here when you are done.
Discard Changes Sign in
Please sign in to add to folders.
Sign in
Don't have an account? Sign Up »
You have created 2 folders. Please upgrade to Cram Premium to create hundreds of folders!