Understanding Linear Equations from Arithmetic Sequences

What is the term used to describe the constant rate of change in an arithmetic sequence?

• Common difference

• Slope

• Y-intercept

• Common ratio

In the context of linear equations, what is the common difference equivalent to?

• Y-intercept

• X-intercept

• Slope

• Constant term

Why is it useful to write a linear equation for an arithmetic sequence?

• To find the first term easily

• To calculate any term in the sequence quickly

• To identify the sequence type

• To determine the common ratio

What does the X value represent in an XY table for an arithmetic sequence?

• The term number

• The common difference

• The sequence type

• The y-intercept

How do you find the y-intercept when creating an XY table?

• By multiplying the common difference

• By dividing the common difference

• By subtracting the common difference

• By adding the common difference

What is the slope in the example where the sequence goes down by 5 each time?

• -5

• 5

• 0

• 1

When using a vertical table, what is the first step to find the slope?

• Add the numbers

• Multiply the numbers

• Subtract a number by the one before it

• Divide the numbers

What is the expression for a sequence with a slope of 1 and a y-intercept of 5?

• 5 - n

• 5n + 1

• n + 5

• n - 5

How do you find the 100th term in a sequence using an expression?

• Divide the term number by the slope

• Add the term number to the y-intercept

• Substitute the term number into the expression

• Multiply the term number by the slope

What is the purpose of writing an expression instead of a full equation?

• To identify the y-intercept

• To find the common ratio

• To simplify calculations

• To determine the sequence type