Topic 3.4 - 3.6

Front

What is the common difference in the arithmetic sequence: 29, 21, 13, 5, ...?

Back

d = -8

Front

Find a₈ for the sequence defined by a_n = -7 + 3(n-1).

Back

a₈ = 14

Front

What does the slope of a regression line represent in a data set?

Back

The increase in visitors for each degree the temperature increases.

Front

Is the sequence 37, 31, 25, 19, ... arithmetic?

Back

Yes

Front

According to the equation y = -0.125x + 1.75, how long would it take to complete 5 puzzles?

Back

1.125 hours

Front

Define an arithmetic sequence.

Back

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 = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Front

How do you find the common difference in an arithmetic sequence?

Back

Subtract the first term from the second term.

Front

What is the significance of the slope in a linear equation?

Back

It indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What does it mean if a sequence is not arithmetic?

Back

The difference between consecutive terms is not constant.