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.

Tags

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

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

Back

68

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: -34, -29, -24, -19, ...?

Back

d = 5

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 1, 4, 9, 16, ... arithmetic?

Back

NO

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CCSS.HSF.BF.A.2

Front

Is the sequence 21, 13, 5, -3, ... arithmetic?

Back

YES

Tags

CCSS.HSF.BF.A.2

Front

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Back

3, 12, 21

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The sum S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

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

Back

37

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CCSS.HSF.BF.A.2