Arithmetic & Geometric Sequence 1st

Front

What is an arithmetic sequence?

Back

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

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CCSS.HSF.BF.A.2

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added to each term to get the next term in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which we multiply each term to get the next term in a geometric sequence.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

Given the sequence 5, 10, 20, 40, what type of sequence is it?

Back

It is a geometric sequence with a common ratio of 2.

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit formula for the arithmetic sequence 8, 14, 20, 26?

Back

The explicit formula is a_n = 6n + 2.

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit formula for the geometric sequence 5, 10, 20, 40?

Back

The explicit formula is a_n = 5(2)^(n-1).

Tags

CCSS.HSF.BF.A.2

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2