3.4-3.6 Review

Front

Find the first term of the arithmetic sequence where a_14 = 68 and d = 3.

Back

The first term a_1 = a_14 - (14-1)d = 68 - 39 = 29.

Front

What is the constant of proportionality in a direct variation graph?

Back

The constant of proportionality is the ratio of Y to X, which remains constant.

Front

What ordered pair does a direct variation always go through when graphed?

Back

(0, 0) - This is the origin point for direct variation.

Front

In direct variation, what is the relationship between Y and X?

Back

Y is always equal to kX, where k is the constant of proportionality.

Front

How can you determine if a relationship is proportional or non-proportional?

Back

If the ratio of Y to X is constant, it is proportional; otherwise, it is non-proportional.

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

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What does it mean for two quantities to vary directly?

Back

Two quantities vary directly if one is a constant multiple of the other.

Front

What is the graph of a direct variation?

Back

The graph of a direct variation is a straight line that passes through the origin.

Front

What is the significance of the slope in a direct variation graph?

Back

The slope represents the constant of proportionality.