Arithmetic Sequences

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

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term in the sequence.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The nth term (a_n) of an arithmetic sequence can be calculated 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

Given the first term and common difference, how do you find the next term in an arithmetic sequence?

Back

To find the next term, add the common difference to the last known term.

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CCSS.HSF.BF.A.2

Front

What are the next two terms in the sequence 13, 19, 25?

Back

The next two terms are 31 and 37.

Tags

CCSS.HSF.BF.A.2

Front

What is the 67th term of the sequence 13, 22, 31, 40?

Back

The 67th term is 607.

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 the same throughout the sequence.

Tags

CCSS.HSF.BF.A.2

Front

Identify the common difference in the sequence 3, -4, -11.

Back

The common difference is -7 (i.e., -4 - 3 = -7 and -11 - (-4) = -7).

Tags

CCSS.HSF.BF.A.2

Front

What are the next two terms in the sequence 3, -4, -11?

Back

The next two terms are -18 and -25.

Tags

CCSS.HSF.BF.A.2

Front

Which of the following sequences is NOT arithmetic: 3, 15, 75, 375 or 2, 4, 8, 16?

Back

The sequence 3, 15, 75, 375 is NOT an arithmetic sequence.

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CCSS.HSF.BF.A.2