Flashcard 13

Front

What are the coordinates of the image of triangle RST after a translation 4 units to the left and 2 units down?

Back

R'(-5, -1), S'(-1, -1), T'(-1, -6)

Front

How do you find the nth term in an arithmetic sequence?

Back

Use the formula a(n) = a(1) + (n-1)d, where a(1) is the first term and d is the common difference.

Front

What is the common difference in the arithmetic sequence: -15, -35, -55, -75, ...?

Back

The common difference is -20.

Front

What is the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...?

Back

-146

Front

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

Back

3, 12, 21

Front

In slope-intercept form (y=mx+b), what does 'm' represent?

Back

The slope (rate of change).

Front

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

Back

a(n) = a(1) + (n-1)d.

Front

If the first term of an arithmetic sequence is -10 and the common difference is -4, what is the 5th term?

Back

-26.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the explicit rule for the arithmetic sequence: -10, -14, -18, -22, ...?

Back

a(n) = -10 - 4(n-1).