Recursive Sequences

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

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

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
  a₁=17
• a_n = a_n-1 - 17
  a₁=17
• a_n = a_n-1 - 15
  a₁=17
• a_n = a_n-1 - 16
  a₁=17

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

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

What is the a_n if the a_n+1= 3?

• 4

• 2

• 3

• -3

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

• $a_n=9+5\left(n-1\right)$

• $a_n=9-4\left(n-1\right)$

• $a_n=4+9\left(n-1\right)$

• $a_n=9\cdot4^{\left(n-1\right)}$

Write the explicit formula for the sequence.

216, 72, 24, 8, ...

• $a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$

• $a_n=8\cdot3^{\left(n-1\right)}$

• $a_n=216-144\left(n-1\right)$

• $a_n=216\cdot3^{\left(n-1\right)}$

Write the explicit formula for the sequence.

15, 22, 29, 36, 43, ...

• $a_n=15+22\left(n-1\right)$

• $a_n=15\cdot7^{\left(n-1\right)}$

• $a_n=15+7\left(n-1\right)$

• $a_n=29-14^{\left(n-1\right)}$