Geometric Sequence Check-In

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

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

• r = -8
• r = -1/4
• r = -4
• r = 4

Tags

CCSS.HSF.BF.A.2

Find the common ratio: -3, -9, -27, -81, ...

• r = 6
• r = -6
• r = 3
• r = -3

Tags

CCSS.HSF.BF.A.2

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

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

Tags

CCSS.HSF.BF.A.2

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

Find the next three terms: -4, -12, -36, -108, ...

• 36, -108, 324
• -324, -972, -2916
• 324, -972, 2916
• -108, 324, -972

Tags

CCSS.HSF.BF.A.2

Choose the correct formula for a geometric sequence:

• $a_n=a_1\cdot r^{\left(n-1\right)}$

• $a_n=a_1\left(r\right)^n$

• $a_n=r\left(a_1\right)^{n-1}$

• $a_1=a_n\left(r\right)^{n-1}$

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• $a_n=2\cdot100^{\left(n-1\right)}$

• $a_n=100\cdot2^{\left(n-1\right)}$

• $a_n=100\cdot\frac{1}{2}^{\left(n-1\right)}$

• $a_n=\frac{1}{2}\cdot100^{\left(n-1\right)}$

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• 
  

  $a_n=162\ ⋅\ \frac{2}{3}^{\left(n-1\right)}$
  

• $a_n=\frac{2}{3}\cdot162^{\left(n-1\right)}$

• $a_n=162\ ⋅\ \frac{3}{2}\left(n-1\right)$

• $a_n=162+\frac{2}{3}^{\left(n-1\right)}$

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• 
  

  $a_n=10\ ⋅\ 2^{\left(n-1\right)}$

• $a_{n\ }=\ 2\ \cdot10^{\left(n-1\right)}$

• $a_{n\ }=10\ \cdot\ 2^n$

• $a_n=2\ \cdot10^n$

Tags

CCSS.HSF.BF.A.2