Recursive Geometric to Explicit

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

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 explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

Which formula is used to find the recursive equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_(n-1) + d

• a_n = a_(n-1) * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

What is the recursive rule for the sequence:
-2, 12, -72, 432, ...

• a_n = -2(-6)^n-1
  

• a_n = -2 + 6(n-1)

• a_n = -6⋅a_n-1
  a₁ = -2
  

• a_n = a_(n-1) - 6
  a₁ = -2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11 + 2(n-1)

• a_n = 11(2)^n-1

• a_n = a_(n-1) + 11
  a₁ = 11

Given the recursive formula, find the first four terms:
a_n = -3⋅a_n-1
a₁ = 45

• 45, -135, 405, -1215

• -45, -135, -405, -1215

• 45, 135, 405, 1215

• 45, 42, 39, 36