Arithmetic Sequences and Their Terms

The video tutorial explains how to find the first three terms of an arithmetic sequence given the 80th term and the common difference. It starts by introducing the problem and the formula for an arithmetic sequence. The instructor then substitutes the given values into the formula to solve for the first term. After finding the first term, the formula for the entire sequence is derived. Finally, the second and third terms are calculated using the derived formula. The tutorial concludes with a summary of the first three terms of the sequence.

What is the 80th term of the arithmetic sequence given in the problem?

• 480

• 472

• 466

• 460

What is the common difference of the arithmetic sequence?

• 4

• 7

• 5

• 6

Which formula represents the nth term of an arithmetic sequence?

• A_n = A_1 + (n - 1) * d

• A_n = A_1 * n + d

• A_n = A_1 - (n - 1) * d

• A_n = A_1 / n + d

What is the value of A_1, the first term of the sequence?

• -10

• -8

• -4

• -6

What is the formula for the nth term of the sequence derived in the video?

• A_n = 6n - 14

• A_n = 6n + 14

• A_n = 6n - 12

• A_n = 6n + 12

What is the second term of the sequence?

• 2

• -4

• -2

• 0

What is the third term of the sequence?

• 4

• 3

• 5

• 2

How do you calculate the second term using the sequence formula?

• Substitute n=2 into A_n = 6n - 14

• Substitute n=3 into A_n = 6n - 14

• Substitute n=2 into A_n = 6n + 14

• Substitute n=3 into A_n = 6n + 14

What is the result of simplifying the expression -8 + 6n - 6?

• 6n - 16

• 6n - 10

• 6n - 14

• 6n - 12

What are the first three terms of the sequence?

• -6, 0, 4

• -6, -2, 4

• -8, 0, 4

• -8, -2, 4