Recursive Sequences and Arithmetic Terms

The video tutorial explains how to find terms in an arithmetic sequence using both a direct formula and a recursive definition. It first demonstrates calculating the 20th term using a given formula, then explores a recursive approach to find terms in a sequence, starting from a known first term. The tutorial emphasizes understanding the process of substituting values and performing arithmetic operations to derive sequence terms.

What is the general formula for the I term in the arithmetic sequence discussed?

• 3 + 4 * I - 1

• 4 + 3 * I - 1

• 4 * I + 3 - 1

• I + 4 * 3 - 1

How do you calculate the 20th term in the sequence using the formula?

• 4 * 3 + 20 - 1

• 4 + 3 * 19

• 4 + 3 * 20 - 1

• 3 + 4 * 20 - 1

What is the value of the 20th term in the sequence?

• 60

• 63

• 57

• 61

What type of definition is used for the second arithmetic sequence?

• Explicit

• Linear

• Recursive

• Geometric

What is the first term (a sub 1) in the recursive sequence?

• -7

• -6

• -5

• -8

How is the second term (a sub 2) calculated in the recursive sequence?

• a sub 1 / 2

• a sub 1 * 2

• a sub 1 - 2

• a sub 1 + 2

What is the value of the third term (a sub 3) in the recursive sequence?

• -9

• -10

• -11

• -12

What is the value of the fourth term (a sub 4) in the recursive sequence?

• -13

• -11

• -12

• -14

How is the fifth term (a sub 5) calculated in the recursive sequence?

• a sub 4 * 2

• a sub 4 - 2

• a sub 4 / 2

• a sub 4 + 2

What is the value of the fifth term (a sub 5) in the recursive sequence?

• -15

• -14

• -13

• -12