Explicit and Recursive Rules

In recursive formulas what does the term a₁ represent?

• the previous term

• the term you are looking for

• the first term

• the last term

Write a recursive formula for the sequence 17,13,9,5...

• a₁ = _17_ , a_n=a_n-1 - 4 __

• a₁ = _13 , a_n=a_n-1 - 4_

• a₁ = _-4 , a_n=a_n-1 -17__

• a₁ = _13 , a_n=a_n-1 +4 ____

Which sequence can be found using the recursive formula a₁=6, a_n= 4a_n-1, n>2

• 6,10,14,20...

• 2,6,10,14...

• 6,24,96,384...

• 6,12,18,24,...

• 4

• 1

• 18

• 114

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

• Explicit; 100, 92, 84, 76

• Recursive; 100, 92, 84, 76

• Explicit; 100, 108, 116, 124

• Recursive; 100, 108, 116, 124

What is the recursive rule for the sequence:

• a_n = -2(-6)^n-1

  a₁=-2

• a_n =a_n-1 + 10

  a₁=-2

• a_n = -6(a_n-1)

  a₁= - 2

• a_n = a_(n-1) - 6

  a₁= - 2

• a(n)=-6n - 2

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

Write the recursive rule for the given sequence

• 24

• 7,776

• 48

• 96

Write the explicit formula for the sequence.