Flashcard 13

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 is found by subtracting any term from the subsequent term in the sequence.

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit 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

How do you calculate the 35th term in an arithmetic sequence?

Back

Use the explicit formula: a_35 = a_1 + (35-1)d.

Tags

CCSS.HSF.BF.A.2

Front

What does the term 'rate of change' refer to in mathematics?

Back

The rate of change describes how one quantity changes in relation to another quantity, often expressed as a ratio.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you perform a translation of a geometric figure?

Back

To translate a figure, you add a specific value to the x-coordinates and y-coordinates of each vertex.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point after a translation of 4 units left and 2 units down from (x, y)?

Back

The new coordinates will be (x-4, y-2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula to find the nth term in a sequence given the first term and common difference?

Back

The formula is a_n = a_1 + (n-1)d.

Tags

CCSS.HSF.BF.A.2

Front

How do you identify the common difference in the sequence 1, 5, 9, 13, 17?

Back

The common difference is 4, found by subtracting 1 from 5, 5 from 9, and so on.

Tags

CCSS.HSF.BF.A.2

Front

What is the significance of the first term in an arithmetic sequence?

Back

The first term (a_1) is the starting point of the sequence and is essential for calculating any other term.

Tags

CCSS.HSF.BF.A.2