Sequences Review

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common difference in an arithmetic sequence?

Back

The constant amount that is added to each term to get the next term.

Front

What is the common ratio in a geometric sequence?

Back

The constant factor by which we multiply to get from one term to the next.

Front

Determine whether the sequence is arithmetic, geometric, or neither: 2, 8, 32, 128.

Back

Geometric.

Front

Write a recursive formula for the sequence: 10, 5, 0, -5.

Back

a₁ = 10; aₙ = aₙ₋₁ - 5.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

aₙ = a₁ + (n-1)d, where d is the common difference.

Front

What is the formula for the nth term of a geometric sequence?

Back

aₙ = a₁ * r^(n-1), where r is the common ratio.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

In an arithmetic sequence, you add to get from one term to the next; in a geometric sequence, you multiply.

Front

How do you find the slope of a line given two points?

Back

Use the formula m = (y₂ - y₁) / (x₂ - x₁).