Topic 3.4 - 3.6

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

How do you find the first four terms of an arithmetic sequence given a recursive formula?

Back

Start with the first term and repeatedly apply the recursive formula to find subsequent terms.

Front

Given a₁= 6 and a_n= a_n-1 + 2, what are the first four terms?

Back

6, 8, 10, 12.

Front

What is the common difference in the arithmetic sequence 37, 31, 25, 19?

Back

The common difference is -6.

Front

What does a correlation coefficient of r = 0.9655 indicate?

Back

It indicates a very strong positive correlation between the two variables.

Front

What does a strong negative correlation mean?

Back

It means that as one variable increases, the other variable tends to decrease.

Front

What is the slope of a regression line?

Back

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

Front

In the context of a regression line, what does a positive slope indicate?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does it mean if there is no correlation between two variables?

Back

It means that there is no predictable relationship between the changes in the two variables.

Front

How do you determine if a sequence is arithmetic?

Back

Check if the difference between consecutive terms is constant.