Arithmetic Sequences and Their Terms

The video tutorial explains how to find the first three terms of an arithmetic sequence given the 100th term and the common difference. It uses the arithmetic sequence formula to solve for the first term and then calculates the second and third terms by adding the common difference. The tutorial provides a step-by-step approach to solving the problem, ensuring a clear understanding of the arithmetic sequence concept.

What is the 100th term of the arithmetic sequence mentioned in the problem?

• 682

• 700

• 675

• 690

What is the common difference in the arithmetic sequence?

• 8

• 7

• 6

• 5

Which formula is used to find the nth term of an arithmetic sequence?

• a_n = a_1 / n + D

• a_n = a_1 - (n-1) * D

• a_n = a_1 * n + D

• a_n = a_1 + (n-1) * D

How do you calculate the first term of the sequence using the given information?

• Divide 682 by 7

• Multiply 682 by 7

• Subtract 693 from 682

• Add 693 to 682

What is the value of the first term (a_1) in the sequence?

• 0

• 10

• 1

• 11

How is the second term (a_2) calculated from the first term?

• Divide a_1 by 7

• Add 7 to a_1

• Multiply a_1 by 7

• Subtract 7 from a_1

What is the value of the second term (a_2) in the sequence?

• 3

• 7

• 0

• -4

How is the third term (a_3) calculated from the second term?

• Subtract 7 from a_2

• Divide a_2 by 7

• Add 7 to a_2

• Multiply a_2 by 7

What is the value of the third term (a_3) in the sequence?

• 0

• 7

• 10

• 3

What are the first three terms of the arithmetic sequence?

• 11, 18, 25

• 0, 7, 14

• 1, 3, 5

• 1, -4, 3