Arithmetic Sequences and Formulas

The video tutorial explains how to find the explicit rule for an arithmetic sequence. It begins by introducing the sequence and labeling its terms. The common difference is identified, and the explicit formula is derived. The formula is then verified using an example, ensuring its correctness.

What are the first four terms of the arithmetic sequence discussed in the video?

• 3, 5, 7, 9

• 1, 3, 5, 7

• 5, 7, 9, 11

• 2, 4, 6, 8

How are the terms in the sequence labeled?

• a1, a2, a3, a4

• b1, b2, b3, b4

• d1, d2, d3, d4

• c1, c2, c3, c4

What is the common difference in the arithmetic sequence?

• 3

• 4

• 2

• 5

What is the starting value of the sequence?

• 7

• 9

• 5

• 11

What is the explicit formula for the sequence?

• a_n = 5 + 2n

• a_n = 5 + 2(n + 1)

• a_n = 5 + 2(n - 1)

• a_n = 5 + 3(n - 1)

How is the formula verified for the third term?

• By calculating 5 + 2 * 1

• By calculating 5 + 2 * 3

• By calculating 5 + 2 * 2

• By calculating 5 + 2 * 4