Sequences flashcard 2

Front

What is a sequence in mathematics?

Back

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

Front

What is a common difference in an arithmetic sequence?

Back

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

Front

Given the sequence 7, 11, 15, 19, what is the common difference?

Back

4

Front

What is a recursive function?

Back

A recursive function is a function that refers to itself in its definition, often used to define sequences.

Front

What is the recursive function for the sequence 7, 11, 15, 19?

Back

f(1) = 7 ; f(n) = f(n-1) + 4

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the formula to find the nth term of the sequence 7, 11, 15, 19?

Back

f(n) = 7 + 4(n-1)