A116-Explicit Formula of Geometric Series

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Question 1 of 10

2. Find the common ratio.
-3, 18, -108, 648, ...

r = 6

r = -6

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Question 2 of 10

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Question 3 of 10

4. Find the common ratio.
4, -20, 100, -500, ...

r = -5

r = -

r =

r = -

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Question 4 of 10

5. Find the explicit formula.
-2, -8, -32, -128, ...

a_n = -2 (-4)^n-1

a_n = (-4)^n-1

a_n = (-4)^n-1

a_n = ( - )^n-1

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Question 5 of 10

6. Find the explicit formula.
-1, 3, -9, 27, ...

a_n = 4 4^(n-1)

a_n = 4^(n-1)

a_n = 3^(n-1)

a_n = -(-3)^(n-1)

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Question 6 of 10

7. Find the explicit formula.
2, -4, 8, -16, ...

a_n = -( )^(n-1)

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

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

a_n = -2^(n-1)

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Question 7 of 10

8. Find the explicit formula.
-3, 12, -48, 192, ...

a_n = -3 ( )^(n-1)

a_n = -3 (-4)^(n-1)

a_n = 3 ( - )^(n-1)

a_n = -3 2^(n-1)

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Question 8 of 10

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Question 9 of 10

10. Find the term named in the problem.
-3, -9, -27, -81, ...
Find a₁₀

a₁₀ = -

a₁₀ = -78732

a₁₀ = -59049

a₁₀ = -

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Question 10 of 10