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29 February, 09:21

1. What is the explicit rule for this geometric sequence?

2, 6, 18, 54, ...

A. an=3⋅2n-1

B. an=2⋅3n-1

C. an=2⋅3n

D. an=3⋅2n

2. What is the recursive rule for this geometric sequence?

7, 21, 63, 189, ...

A. a1=3; an=7⋅an-1

D. a1=21; an=7⋅an-1

C. a1=7; an=3⋅an-1

D. a1=7; an=13⋅an-1

3. What is the explicit rule for this geometric sequence?

a1=-15; an=15⋅an-1

A. an=-15 (15) n-1

B. an=15 (-15) n-1

C. an=15⋅ (-15) n-1

D. an=-15⋅15n-1

4. A business owes $8000 on a loan. Every month, the business pays 1212 of the amount remaining on the loan.

How much will the business pay in the sixth month?

Enter your answer in the box.

5. What is the common ratio for the geometric sequence?

24,-6,32,-38, ...

Enter your answer in the box

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Answers (2)
  1. 29 February, 09:25
    0
    1. The terms are 2, 6, 18, 54, ...

    The first term is 2 and the common ratio is 6/2 = 3

    So, the rule is

    B. an=2⋅3^ (n-1)

    2. The terms are 7, 21, 63, 189, ...

    The first term is 7 and the common ratio is 21/7 = 3

    So, the rule is

    an=7⋅3^ (n-1)

    The closest answer is

    D. a1=21; an=7⋅an-1

    3. The answer is already given which is

    D. an=-15⋅15n-1

    4. Since he pays 1212 every month, he will pay 1212 on the sixth month.

    5. The common ratio is - 6/24 = - 1/4
  2. 29 February, 09:34
    0
    Hello there.

    1. What is the explicit rule for this geometric sequence?

    B. an=2⋅3n-1
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