Analyzing Recursive Sequences and 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 subsequent terms are calculated using a specific formula. The tutorial then introduces a second sequence with a different formula, demonstrating how to calculate the first five terms. The process involves substituting known values into the formula and performing arithmetic operations to find each term.

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

• 5

• 4

• 2

• 3

How is the second term of the sequence calculated?

• By using the formula 2 * a(n-1) + 3

• By multiplying the first term by 3

• By subtracting 2 from the first term

• By adding 5 to the first term

What is the value of the third term in the sequence?

• 30

• 11

• 22

• 25

What is the first term of the new sequence introduced?

• 4

• 3

• 1

• 2

How is the second term of the new sequence calculated?

• By multiplying the first term by 2

• By adding 1 to the first term

• By subtracting 1 from the first term

• By using the formula -a(n-1) * (n+1)/n

What is the value of the third term in the new sequence?

• 5

• 6

• -3

• 4

What is the value of the fourth term in the new sequence?

• -5

• 6

• 5

• -4

What is the value of the fifth term in the new sequence?

• 5

• 6

• 8

• 7

What pattern is observed in the new sequence?

• All terms are negative

• Terms decrease in magnitude

• Terms alternate in sign and increase in magnitude

• All terms are positive

What is the general approach to finding terms in a sequence using a recursive formula?

• Add a constant to the previous term

• Multiply the previous term by a constant

• Substitute the previous term's value into the formula

• Use the formula directly without any substitutions