Geometric Sequence Recursive Formula

What kind of sequence is the pattern 2, 4, 12, 48,...?

• Arithmetic

• Geometric

• Neither

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 recursive formula best describes the sequence
2, -6, 18, - 54... 

• a_n=a_n-1* -4, a₁ = 2

• a_n=a_n-1* - 8, a₁ =2

• a_n=a_n-1* 2, a₁ = -3

• a_n=a_n-1* -3, a₁ =2

Write the recursive formula for geometric sequences.

• f(n) = f(n-1) * r

• f(n) = f(n-1) + 1

• f(n) = a(n-1) / r

• f(n) = f(n-1) + r

Which of the following is the recursive formula for geometric sequences?

• g_n=g_n-1 (r)

• g_n=g₁ (r^n-1)

What is the recursive formula for geometric sequences?

• f(n) = r + f(n-1)

• f(n) = r * f(n+1)

• f)n) = r^2 * f(n-1)

• f(n) = r * f(n-1)

How do you write the recursive formula for geometric sequences using function notation?

• f(n) = f(n-1) * r

• f(n) = f(n-1) / r

• f(n) = f(n-1) + r

• f(n) = f(n-1) + r^n

Which formula is the recursive equation for a geometric sequence?

What is the recursive rule for the sequence:
2, 6, 18, 54...

• f(3), f(n)=f(n-1)2

• f(2), f(n)=f(n-1)4

• f(1)=3, f(n)=f(n-1)2

• f(1)=2, f(n)=f(n-1)3

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4