<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
</span></span>
- The first four terms are : 15000, 14850, 14700, 14550
- a = 15000 ; d = -150
- The explicit formula is :
The first term of the sequence, a = 15,000
Each subsequent winner gets $150 less
Hence, the common difference, d = - $150
The first four terms :
First term, a1 = $15000
Second term, a2 = a - d = $15000 - $150 = $14850
Third term, a3 = a2 - d = $14850 - $150 = $14700
Fourth term, a4 = a3 - d = $14700 - $150 = $14550
a, for the sequence is the first term = $15000
d, for the sequence is the common $150 (difference between successive wins).
Explicit formula for the general term :
For n = 1
Hence, the explicit formula for the nth term is :
Learn more : brainly.com/question/12006170
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Answer:
The mixtures are not proportional.
3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture.
its =3
Step-by-step explanation:
The one mixture contains 6 fluid ounces and 10 fluid ounces of water and vinegar respectively.
Therefore, the ratio of water to vinegar in the first mixture is 6 : 10 = 3 : 5
Now, a second mixture contains 9 fluid ounces of water and 12 fluid ounces of vinegar.
Hence, the ratio of water to vinegar in the second mixture is 9 : 12 = 3 : 4
Therefore, the mixtures are not proportional.
Therefore, we have to add x fluid ounces of vinegar to the second mixture to make it in the ratio of 3 : 5.
So,
⇒ 12 + x = 15
⇒ x = 3 fluid ounces.
Therefore, 3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture. (Answer
Answer:
Muercury 3
Venus 6
Mars 2
pluto 5
Jupiter 1
Nucleus4
Step-by-step explanation:
