Exploring Recursive Sequences through Repeated Addition

What is another name for repeated addition patterns?

• Linear equations

• Exponential equations

• Quadratic equations

• Logarithmic equations

In the slope of a line formula, what does 'm' represent?

• The constant term

• The y-intercept

• The rate of change

• The x-intercept

What is the most popular form for all linear relationships?

• y = mx + b

• ax^2 + bx + c

• y = a^x

• log(y) = x

In explicit arithmetic sequence formulas, what does 'd' represent?

• The final amount

• The number of terms

• The common difference

• The initial amount

What does 'a sub n' represent in an explicit arithmetic sequence formula?

• The number of terms

• The amount at time n

• The common difference

• The initial amount

What does the term 'recursive' mean in the context of arithmetic sequences?

• Occurring randomly

• Occurring at fixed intervals

• Occurring once

• Occurring over and over again

In a recursive formula, what does 'a sub n minus 1' represent?

• The initial amount

• The previous amount

• The next amount

• The final amount

If a number pattern goes from 160 to 147 to 134, what is the common difference?

• 13

• 14

• 15

• 16

In the context of a gift card, if the card goes down by $3.50 for each coffee purchased, what is the rate of change?

• $2.50

• $3.00

• $4.00

• $3.50

In a sequence where the rate of change is 4 and the initial amount is 27, what is the formula in slope-intercept form?

• y = 27x + 4

• y = 4x - 27

• y = 4x + 27

• y = 27x - 4