What is an arithmetic sequence?
What is the formula for the nth term of an arithmetic sequence?
Hint: d is the common difference
What is a geometric sequence?
What is the formula for the nth term of a geometric sequence?
Hint: r is the common ratio
What is the sum of the first n terms of an arithmetic series?
What is the sum of the first n terms of a geometric series?
When does an infinite geometric series converge?
What is the sum of an infinite geometric series when |r| < 1?
What is the Binomial Theorem used for?
What is sigma notation (Σ)?
How is a recursive formula for a sequence different from an explicit formula?
Hint: Think of a recursive formula as needing to know the term right before it
A sequence is defined recursively by a₁ = 3 and aₙ = aₙ₋₁ + 5. What is a₄?
Hint: Add 5 three more times starting from a₁ = 3