Recursive Sequences Quiz

What is a recursive sequence?

• A sequence where each term is a random number.

• A sequence where each term is determined by one or more previous terms.

• A sequence where each term is a constant.

• A sequence where each term is independent of others.

How is the second term calculated in the given recursive sequence?

• By adding 5 to the first term.

• By multiplying the first term by 2 and adding 7.

• By dividing the first term by 2.

• By subtracting 3 from the first term.

What pattern is identified in the sequence differences?

• The differences are random.

• The differences are constant.

• The differences are decreasing.

• The differences are increasing by a factor of 2.

In the n+2 example, how many initial terms are needed?

• One initial term.

• No initial terms are needed.

• Three initial terms.

• Two initial terms.

What is the value of the third term in the n+2 example?

• 10

• 3

• 4

• -2

How do you determine the multiplier in a recursive formula?

• By using a calculator.

• By identifying a pattern in the sequence.

• By guessing.

• By adding all terms together.

What is the first step in writing a recursive formula?

• Multiply all terms by 2.

• Find the sum of all terms.

• Identify the first term.

• Determine the last term.

What is the constant 'c' in the recursive formula example?

• 7

• 2

• 5

• 3

Why is it important to practice with recursive sequences?

• To increase speed in calculations.

• To memorize the terms.

• To understand the underlying patterns.

• To avoid using formulas.

What should you do if you are confused while working with recursive sequences?

• Skip the problem entirely.

• Ignore the confusion and move on.

• Revisit the examples and patterns.

• Ask someone else to do it for you.