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 (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Tags

CCSS.HSF.BF.A.2

Front

Given the sequence: 2, 5, 8, 11, ..., what is the common difference?

Back

d = 3.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 10, 7, 4, 1, ... an arithmetic sequence?

Back

Yes, the common difference is -3.

Tags

CCSS.HSF.BF.A.2

Front

Find the next term in the sequence: 4, 9, 14, 19, ...

Back

The next term is 24.

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) 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

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

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

d = 5.

Tags

CCSS.HSF.BF.A.2

Front

Determine if the sequence 29, 21, 13, 5, ... is arithmetic.

Back

Yes, the common difference is -8.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: 1, 201, 401, 601, ...?

Back

d = 200.

Tags

CCSS.HSF.BF.A.2