Sequences Flashcard

Front

What is the rule for the sequence {3, 5, 7, 9, ...}?

Back

2n + 1

Front

What is a series in terms of sequences?

Back

A sum of an infinite sequence

Front

What is the rule for square numbers?

Back

xn = n^2

Front

What is a partial sum?

Back

A sum of part of a sequence

Front

What is the rule for a geometric sequence?

Back

xn = ar^(n-1)

Front

Define a sequence.

Back

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

Front

What is the common difference in an arithmetic sequence?

Back

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

Front

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

Back

xn = a + d(n-1), where a is the first term and d is the common difference.

Front

What is the difference between a sequence and a series?

Back

A sequence is a list of numbers, while a series is the sum of the terms of a sequence.

Front

What is the formula for the sum of the first n terms of an arithmetic series?

Back

S_n = n/2 * (a + l), where a is the first term and l is the last term.