Arithmetic Sequence

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

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 -34, -29, -24, -19, what is the common difference?

Back

d = 5.

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the arithmetic sequence -33, -24, -15, -6?

Back

3, 12, 21.

Tags

CCSS.HSF.BF.A.2

Front

If f(x) = x + 3, what is f(-2)?

Back

f(-2) = 1.

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CCSS.HSF.IF.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

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Given the sequence 29, 21, 13, 5, what is the common difference?

Back

d = -8.

Tags

CCSS.HSF.BF.A.2

Front

What is the first term of the arithmetic sequence if the second term is 10 and the common difference is 3?

Back

The first term is 7.

Tags

CCSS.HSF.BF.A.2

Front

If the common difference of an arithmetic sequence is negative, what does that indicate about the sequence?

Back

It indicates that the terms of the sequence are decreasing.

Tags

CCSS.HSF.BF.A.2