Arithmetic Sequence Day 1 - Recursive Formula

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 - a_(n-1).

Tags

CCSS.HSF.BF.A.2

Front

What is the recursive formula for an arithmetic sequence?

Back

The recursive formula is given by: a_n = a_(n-1) + d, where d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

Given the first term a_1 = 3 and common difference d = 4, what are the first four terms of the sequence?

Back

The first four terms are: 3, 7, 11, 15.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

Yes, the common difference is -3.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 5, 10, 20, 40, ... arithmetic?

Back

No, the difference between terms is not constant.

Tags

CCSS.HSF.BF.A.2

Front

What is the first term of the sequence defined by a_1 = 2 and a_n = a_(n-1) + 3?

Back

The first term is 2.

Tags

CCSS.HSF.BF.A.2

Front

If a_1 = 12 and d = -2, what is a_5?

Back

a_5 = 12 + 4(-2) = 12 - 8 = 4.

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CCSS.HSF.BF.A.2

Front

What is the common difference of the sequence 15, 10, 5, 0, ...?

Back

The common difference is -5.

Tags

CCSS.HSF.BF.A.2

Front

Which recursive formula represents the sequence 2, 5, 8, 11, ...?

Back

a_1 = 2, a_n = a_(n-1) + 3.

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CCSS.HSF.IF.A.3