Mathematics

Alberto Murillo

5 March, 17:33

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?

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

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

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