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

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 the 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

Is the sequence 3, 5, 7 an arithmetic sequence?

Back

Yes, the sequence is arithmetic because the common difference is 2.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 3, 15, 75 an arithmetic sequence?

Back

No, this sequence is not arithmetic because the differences between terms are not constant.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference of the sequence: –2, 5, 12, 19, 26?

Back

The common difference is 7.

Tags

CCSS.HSF.BF.A.2

Front

Which of the following is an arithmetic sequence: 5, 12, 21 or 3, 6, 12?

Back

5, 12, 21 is an arithmetic sequence with a common difference of 7.

Tags

CCSS.HSF.BF.A.2

Front

Find the 75th term of the arithmetic sequence -17, -13, 9.

Back

The 75th term is 279.

Tags

CCSS.HSF.BF.A.2

Front

What is the first term of the arithmetic sequence: 4, 8, 12, ...?

Back

The first term is 4.

Tags

CCSS.HSF.BF.A.2

Front

If the first term is 10 and the common difference is 3, what is the 10th term?

Back

The 10th term is 37.

Tags

CCSS.HSF.BF.A.2