Sequences & Functions Flashcard 1

Front

What is the explicit rule for the sequence: 11, 22, 44, 88?

Back

a_n = 11(2)^(n-1)

Front

Is the sequence 5, 4.25, 3.5, 2.75 an Arithmetic sequence?

Back

Yes

Front

Find an explicit rule for the nth term of the sequence: 7, -7, 7, -7, ...

Back

a_n = 7(-1)^(n-1)

Front

Find the 22nd term of the sequence: 5, 8, 11, ...

Back

68

Front

What is the 15th term of the sequence a_n = -3n + 50?

Back

5

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 common difference in the sequence: 3, 7, 11, 15?

Back

4

Front

How do you find the nth term of an Arithmetic Sequence?

Back

Use 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 a geometric sequence?

Back

A geometric sequence is a sequence of numbers 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 common ratio in the sequence: 2, 6, 18, 54?

Back

3