Sequences and Series Core 10.1/10.2

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the formula for the n-th term of an arithmetic sequence?

Back

Front

What is a series?

Back

A series is the sum of the terms of a sequence.

Front

Define a geometric sequence.

Back

A geometric sequence is a sequence where 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 formula for the n-th term of a geometric sequence?

Back

Front

How do you find the sum of the first n terms of an arithmetic series?

Back

Front

What is the sum of the first n terms of a geometric series?

Back

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

What is the next term in the sequence 1, 4, 9, 16, 25, ...?

Back

The next term is 36, as these are the squares of the integers (1^2, 2^2, 3^2, ...).