Given the explicit formula of an arithmetic sequence to determine the 38th term

The video tutorial explains how to identify and work with arithmetic sequences. It begins by confirming the sequence is arithmetic and identifying the common difference. The teacher then discusses two methods to find the 38th term: iteratively adding the common difference or using the explicit formula. The explicit formula is emphasized for efficiency, especially in complex problems. The teacher demonstrates the formula's application, showing how to calculate the 38th term, which results in 224.

What is the common difference in the given arithmetic sequence?

• 6

• 4

• 7

• 5

Which method is more efficient for finding the 38th term in a test scenario?

• Adding the common difference repeatedly

• Using the explicit formula

• Guessing the term

• Using a calculator

What is the first term in the sequence discussed?

• 14

• 8

• 20

• 2

How do you calculate the 38th term using the explicit formula?

• Divide the first term by 38

• Use the formula a_n = a_1 + (n-1) * d

• Add 38 to the first term

• Multiply the first term by 38

What is the value of the 38th term in the sequence?

• 226

• 222

• 224

• 220