Understanding Recursive Formulas

What is a recursive formula primarily used for?

• To solve linear equations

• To calculate integrals

• To form sequences based on previous terms

• To find the roots of polynomials

In the first example, what is the value of the second term in the sequence?

• 4

• 8

• 2

• 6

How is the third term calculated in the first example?

• By multiplying the second term by 2

• By adding 4 to the second term

• By adding 2 to the second term

• By subtracting 2 from the second term

In the second example, what is the formula used to find the next term?

• a_n + 1 = a_n + 4

• a_n + 1 = 2^a_n + 1

• a_n = 3a_(n-1) - 2

• a_n = a_(n-1) + 4

What is the third term in the sequence of the second example?

• 9

• 6

• 3

• 12

In the third example, what is the initial term given?

• 4

• 1

• 2

• 3

How is the second term calculated in the third example?

• By adding 4 to the first term

• By multiplying the first term by 3 and subtracting 2

• By adding 2 to the first term

• By dividing the first term by 2

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

• 10

• 30

• 20

• 28

What should you keep in mind about recursive formulas according to the summary?

• They are always linear

• They can have different notations but are solved similarly

• They are only used in calculus

• They are always exponential

Where can you find more practice questions on recursive formulas?

• On mathducks.org

• In the textbook

• In the video description

• In the appendix