Understanding Arithmetic Sequences

The video tutorial explains how to find the 100th term of a sequence starting with 15, 9, 3, and -3. The sequence decreases by 6 each time. The instructor derives a general formula for the nth term as 15 minus (n-1) times 6. Using this formula, the 100th term is calculated to be -579.

What is the first term of the sequence given in the problem?

• 9

• 15

• 3

• -3

How much does each term decrease by in the sequence?

• 3

• 6

• 9

• 12

What is the value of the third term in the sequence?

• 15

• 9

• 3

• -3

How many times is 6 subtracted to get the fourth term?

• Once

• Twice

• Three times

• Four times

What is the general formula for the nth term of the sequence?

• 15 - (n-1) * 6

• 15 + n * 6

• 15 + (n-1) * 6

• 15 - n * 6

What is the value of 99 times 6?

• 594

• 600

• 588

• 606

What is the result of 15 minus 594?

• 579

• -579

• 609

• -609

What is the 100th term of the sequence?

• -579

• 579

• 594

• -594

Which of the following is a correct step in calculating the 100th term?

• Subtracting 99 times 6 from 15

• Adding 99 to 15

• Multiplying 15 by 99

• Dividing 15 by 99

What is the pattern used to find the nth term in this sequence?

• Divide the previous term by 6

• Multiply the previous term by 6

• Subtract 6 from the previous term

• Add 6 to the previous term