Slope and Arithmetic Sequences Review

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness of a line, typically represented as the ratio of the rise (vertical change) to the run (horizontal change) between two points on the line.

Front

How do you calculate the slope of a line?

Back

Slope can be calculated using the formula: Slope (m) = \frac{\text{Rise}}{\text{Run}}.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line, which gives the slope.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is \frac{3}{4}.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term in the sequence increases or decreases by.

Front

Find the common difference for the sequence: 2, 5, 8, 11, ...

Back

The common difference (d) is 3.

Front

What is each number in a sequence called?

Back

Each number in a sequence is called a 'term'.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 5th term?

Back

The 5th term is 4 + 4(2) = 12.

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.