Understanding Arithmetic Sequences Concepts

The video tutorial explains arithmetic sequences, highlighting their linear nature with a slope and y-intercept. It demonstrates how the common difference represents the slope and how to find the y-intercept by subtracting this difference. The tutorial also covers using index numbers in formulas to solve sequence problems, providing a practical example to illustrate the concept.

What is the nature of arithmetic sequences?

• Exponential

• Linear

• Quadratic

• Cubic

In an arithmetic sequence, what does the slope represent?

• The sum of terms

• The highest term

• The common difference

• The initial term

If the common difference in an arithmetic sequence is 6, what is the slope?

• 9

• 3

• 6

• 12

How do you determine the slope in an arithmetic sequence?

• By finding the last term

• By finding the first term

• By finding the sum of terms

• By finding the common difference

How do you find the y-intercept in an arithmetic sequence?

• By dividing the common difference

• By multiplying the common difference

• By subtracting the common difference

• By adding the common difference

What is the y-intercept if the sequence starts at 0 and the common difference is 6?

• 0

• -18

• -6

• -12

What is the y-intercept if the sequence starts at 0 and decreases by 6?

• 0

• -6

• -18

• -12

What is the term used for the starting point of a sequence?

• Index

• Common difference

• Y-intercept

• Slope

What is the formula used to find a specific term in an arithmetic sequence?

• a_n = a_1 + (n-1)d

• a_n = a_1 * d

• a_n = a_1 / d

• a_n = a_1 - d

If the common difference is 6 and the first term is 0, what is the 5th term?

• 18

• 24

• 12

• 30