Arithmetic Sequences Recursive Formula

Given the recursive formula, find the explicit form
a_n = a_n-1 - 5
a₁ = 22

• a_n = 22 + (n-1)(-5)

• a_n = 22 + (n-1)(5)

• a_n = -5 + (n-1)(22)

• a_n = -16 + (n-1)(-5)

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Find the common difference.

Find the first five terms.

Identify the common difference.

• d=4

• d=3

• d=-4

• d=-3

The sequence 3, 6, 9, 12... is:

• Arithmetic

• Geometric

• Recursive

• Explicit

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

Write the recursive formula for 4, 8, 12....

• a_n=a_n-1-7

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1+4

Write the recursive formula of 13, 9, 5...

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1-5

• a_n=a_n-1+4