Understanding Arithmetic Sequences

The video tutorial explains how to determine the first five terms of an arithmetic sequence given the first term and common difference. It demonstrates the use of the formula A sub N equals A sub N minus one plus D to calculate each term sequentially. An alternative formula, A sub N equals A sub one plus (N minus one) times D, is also introduced, which allows finding any term without knowing the previous one. The tutorial concludes by summarizing the calculated terms and emphasizing the flexibility of the formulas.

What is the first term of the arithmetic sequence given in the problem?

• -9

• 5

• 4

• 0

What is the common difference in the arithmetic sequence discussed?

• 5

• 4

• 3

• 2

What is the second term of the sequence after adding the common difference to the first term?

• -5

• 7

• 3

• -1

Which formula is used to find the next term in an arithmetic sequence?

• A sub N = A sub N-1 + D

• A sub N = A sub 1 - D

• A sub N = A sub 1 + D

• A sub N = A sub N-1 - D

What is the third term of the sequence?

• -5

• 7

• 3

• -1

What is the benefit of using the formula A sub N = A sub 1 + (N-1)D?

• It requires the previous term

• It doesn't require the previous term

• It is faster

• It is more accurate

What is the fourth term of the sequence using the alternative formula?

• -1

• 7

• -5

• 3

How do you calculate A sub 4 using the alternative formula?

• A sub 4 = -9 + 5*4

• A sub 4 = -9 + 2*4

• A sub 4 = -9 + 3*4

• A sub 4 = -9 + 4*4

What is the fifth term of the sequence?

• -5

• -1

• 3

• 7

What are the first five terms of the arithmetic sequence?

• -9, -5, -1, 3, 7

• -9, -4, 0, 4, 8

• -9, -6, -3, 0, 3

• -9, -3, 3, 9, 15