Flashcard 13

Front

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ... (Hint: Write the explicit rule first, then use it to solve)

Back

The 35th term is -146.

Front

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Back

The next three terms are 3, 12, 21.

Front

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

Back

C = 8m + 50

Front

What is the rule for a reflection across the y = x line?

Back

(x, y) becomes (y, x).

Front

In slope intercept form (y=mx+b) what is the 'b'?

Back

The y-intercept.

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

The constant amount that each term increases or decreases by.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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