Analyzing Sequences and Their Terms

The video tutorial explains how to find the first few terms of sequences using given formulas. It starts with a sequence where the first term is provided, and the nth term is calculated using a specific formula. The tutorial then moves on to a more complex sequence involving fractions and alternating signs, demonstrating how to compute the first five terms. The instructor emphasizes understanding the formula and substituting values correctly to derive each term.

What is the first term of the sequence discussed in the introduction?

• 4

• 5

• 3

• 2

How is the nth term of the sequence calculated?

• a sub n = a sub n-1 + 5

• a sub n = 2 * a sub n-1 + 3

• a sub n = 3 * a sub n-1 + 2

• a sub n = 2 * a sub n-1 - 3

What is the second term of the sequence?

• 11

• 8

• 9

• 10

What is the third term of the sequence?

• 22

• 23

• 24

• 25

What is the first term of the new sequence introduced?

• 1

• 2

• 3

• 4

How is the nth term of the new sequence calculated?

• a sub n = a sub n-1 - n + 1 / n

• a sub n = a sub n-1 * n - 1 / n

• a sub n = a sub n-1 * n + 1 / n

• a sub n = a sub n-1 + n / n + 1

What is the second term of the new sequence?

• -4

• -3

• -5

• -2

What is the third term of the new sequence?

• 6

• 4

• 5

• 3

What is the fourth term of the new sequence?

• -4

• -5

• -6

• -7

What pattern is observed in the new sequence?

• Random values

• Alternating signs with increasing magnitude

• Constant positive values

• Constant negative values