writing a recursive formula for geometric sequence

Determine the first 3 terms of the following sequence.

t₁= -3

t_n=t_n-1(3)

• -3, 9, 27

• -3, -9, -27

• -3, -6, -9

• -3, 6,9

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

• r = -8
• r = -1/4
• r = -4
• r = 4

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which sequence is represented by the equation 2(7)^n-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

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

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 next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2