Geometric Sequences

The next term of the geometric sequence

4, 16, 64, ...

is

Mathematical Equivalence

ON

What is the common ratio for the following sequence:

3, 15, 75, 375, ...

Mathematical Equivalence

ON

Find the next three terms of the following geometric sequence: (a)  

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645
• 324, 648, 1296

Write the explicit formula for the following geometric sequence: (a)  

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Write the explicit formula for the following geometric sequence: (a)  

• 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<

• Find the 9th term in the following geometric sequence: (a)  

• Find a₁₂ in the following geometric sequence:

  -1, -3, -9, -27, ...

• Find a₁₁ in the following geometric sequence: (a)  

• Find the common ratio of the following geometric sequence: (a)  

• Find the 6th term of the following geometric sequence:

  2, 8, 32, 128, ...

  Mathematical Equivalence

  ON

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