Explicit and Recursive Arithmetic

• 16

• 23

• 4

• 30

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

Write a sequence to represent the number of smiley faces in each group. Select all that apply.

This is an arithmetic sequence. How many dots would be in the next figure?

• 4

• 13

• 14

• 15

On a scale of 1-5, 1 meaning "I have no clue what is going on" to 5 meaning "I got it completely," how would you rate your understanding of recursive & explicit sequences

• 1

• 2

• 3

• 4

• 5

A formula that requires the computation of all previous terms to find the value of a_n.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31

• 5, -11, -27, -43

• -16, -80, -500, -200

• -16, -11, -6, -1

The explicit formula is used to find a specific term in a sequence.

• True

• False

What are the next 3 terms in this sequence of terms?     3, 7, 11, 15

• 18, 22, 26

• 19, 21, 23

• 19, 23, 27

• 18, 21, 24

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator

• Common opposites

• Common domain

• Common difference