[Algebra 2] Geometric Sequences and Series

Is the sequence -4, -12, -36, -108,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

Is the sequence 7, 9, 12, 16,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

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

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

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

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

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Tags

CCSS.HSF.BF.A.2

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50
• $35
• $320
• $250

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

• 59048
• -29524
• 524288
• 3069

Tags

CCSS.HSA.SSE.B.4

What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...

• 0.999
• 0.002
• 9.8
• 1.998

Tags

CCSS.HSA.SSE.B.4

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

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2