Understanding Arithmetic Sequences

The video tutorial explains how to find the 100th term in a sequence starting with 15, 9, 3, and -3. The instructor identifies a pattern of subtracting six from each term to get the next. A general formula for the nth term is derived as 15 minus (n-1) times six. The 100th term is calculated using this formula, resulting in -579.

What is the first term of the sequence presented by the instructor?

• -3

• 3

• 9

• 15

What is the common difference between consecutive terms in the sequence?

• 3

• -3

• 6

• -6

How many times is six subtracted to find the third term?

• Four times

• Once

• Twice

• Three times

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

• 15 - n

• 15 - 6n

• 15 + 6n

• 15 - (n-1) * 6

If n is 4, what is the value of n-1 in the formula for the nth term?

• 5

• 2

• 3

• 4

What is the first step in calculating the 100th term using the formula?

• Add 99 to 15

• Subtract 99 from 15

• Divide 99 by 6

• Multiply 99 by 6

What is the result of multiplying 99 by 6?

• 606

• 588

• 600

• 594

What is the next step after finding 99 times 6 in calculating the 100th term?

• Divide by 15

• Multiply by 15

• Subtract 15

• Add 15

What is the result of 15 minus 594?

• -579

• -609

• 609

• 579

What is the value of the 100th term in the sequence?

• -594

• 594

• -579

• 579