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ikadub [295]
3 years ago
11

What is the recursive formula when given the explicit formula for the following geometric sequence?

Mathematics
1 answer:
satela [25.4K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Take a careful look at a(n) =  6(-8)^(n-1).

The first term is 6.  This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6.  Thus, we can immediately eliminate possible answer choices A and D.

What's the next term?  Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.

The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.

Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.

Answer C is the correct one.  

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Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
VikaD [51]

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
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\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What
scZoUnD [109]

Answer: 6.25 is her profit

Step-by-step explanation: cost-price= protect

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4 0
3 years ago
What is 8(2x-3)-6x if x = 3
KengaRu [80]
8(2x - 3)-6x

First, replace all the x's with 3s. Simplfy 2 × 3 to 6. / Your problem should look like: 8 × (6 - 3) - 6 × 3
Second, simplify 6 - 3 to 3. / Your problem should look like: 8 × 3 - 6 × 3
Third, simplify 8 × 3 to 24. / Your problem should look like: 24 - 6 × 3
Fourth, simplify 6 × 3 to 18. / Your problem should look like: 24 - 18
Fifth, simplify 24 - 18 to get 6. / Your problem should look like: 6

Answer: 6

4 0
3 years ago
Two skaters are racing toward the finish line of a race. The first skater has a 40 m lead and is traveling at a rate of 12 m/s.
ivanzaharov [21]
The second skater wont pass him, he is ahead and they are going the same speed
3 0
3 years ago
(7t-2)-(-3t+1)=-3(1-3t)
Aleksandr-060686 [28]
First you need to multiple minus in second bracket, also in other side you need to multiple - 3 in bracket

7t - 2 + 3t - 1 =  - 3 + 9t \\  \\ 10t - 3 =  - 3 + 9t \\ 10t - 9t =  - 3 + 3 \\ t = 0
Final answer is 0
5 0
3 years ago
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