Arithmetic Sequences and Their Formulas

The video tutorial explains how to find terms in a number sequence using a specific formula. It starts with an introduction to the sequence pattern, followed by a detailed explanation of the formula used to calculate any term in the sequence. The tutorial then demonstrates the application of this formula with an example, calculating the 20th term. Finally, it generalizes the method for finding any term in the sequence.

What is the pattern of the sequence discussed in the video?

• 3, 6, 9, 12

• 2, 4, 6, 8

• 1, 4, 7, 10

• 1, 2, 3, 4

What is the sequence pattern used to demonstrate the formula?

• 1, 3, 5, 7

• 3, 6, 9, 12

• 2, 5, 8, 11

• 1, 4, 7, 10

What is the purpose of the formula introduced in the video?

• To find the sum of all terms in a sequence

• To calculate the average of the sequence

• To determine the first term of a sequence

• To find any term in the sequence

What is the formula to find the nth term in an arithmetic sequence?

• a_n = A1 + n * D

• a_n = A1 + (n-1) * D

• a_n = A1 - (n-1) * D

• a_n = A1 * n * D

In the formula a_n = A1 + (n-1) * D, what does 'A1' represent?

• The last term of the sequence

• The common difference

• The first term of the sequence

• The total number of terms

What does 'D' stand for in the formula a_n = A1 + (n-1) * D?

• The first term of the sequence

• The common difference between terms

• The total number of terms

• The last term of the sequence

What is the common difference 'D' in the sequence?

• 5

• 4

• 3

• 2

What is the first term (A1) in the sequence discussed?

• 10

• 1

• 7

• 4

How do you calculate the 20th term in the sequence using the formula?

• A1 + 21 * D

• A1 + 19 * D

• A1 + 20 * D

• A1 + 18 * D

What is the value of the 20th term in the sequence?

• 59

• 58

• 57

• 60