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 that each term increases or decreases by in an arithmetic sequence.

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CCSS.HSF.BF.A.2

Front

Find the next two terms of the arithmetic sequence: 3, -4, -11.

Back

-18 and -25.

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CCSS.HSF.BF.A.2

Front

Find the next two terms of the arithmetic sequence: 13, 19, 25.

Back

31 and 37.

Tags

CCSS.HSF.BF.A.2

Front

Which of the following is NOT an arithmetic sequence: -7, -13, -19, -25; -10, -6, -2, 2; 6, 8, 10, 12; 3, 15, 75, 375?

Back

3, 15, 75, 375.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference of the sequence 2, -1, -4, -7?

Back

-3.

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CCSS.HSF.BF.A.2

Front

What is the explicit formula for the n^th term of the arithmetic sequence 16, 13, 10, 7?

Back

a_n = -3n + 19.

Tags

CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 10th term?

Back

The 10th term is 23.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the n^th term of an arithmetic sequence?

Back

Use the formula a_n = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n = n/2 * (a₁ + a_n), where a_n is the n^th term.