Which of the following is a geometric sequence? 3, 6, 12, 24, … 4, 8, 12, 16, … 2, 4, 16, 256, …
Svetlanka [38]
Answer:
The geometric sequence would be 3, 6, 12, 24 . . .
Step-by-step explanation:
A <u>geometric sequence</u> is when the you find the next term in the sequence by multiplying by a <em>common ratio</em>. (A common ratio is the constant value that you <em>multiply</em> by each time in a geometric sequence.) In order to solve your problem, you would find the relationship between each term in the sequence. For the first sequence, 3, 6, 12, 24, etc., you can see that the ratio between one term and the next would be two: 3×2 = 6, 6×2 = 12, 12×2 = 24, and so on. This makes it a geometric sequence, but you still need to check the other sequences to make sure. For the sequence 4, 8, 12, 16, . . . , you need to add four each time. This means that the sequence has a <em>common difference</em>, or the constant value you <em>add or subtract</em> by in an <u>arithmetic sequence</u>. So, we know that the second sequence is not the answer. Finally, we check the last sequence, and if you look at it you can see that the you square the previous term to get the current one. This is different from a geometric sequence, and has a different name. However, it is not a geometric sequence because you are not multiplying by the <em>same</em> value each time (it doesn't have a common ratio). So, the first sequence, 3, 6, 12, 24, . . . , is a geometric sequence.
Answer:
Number of milk chocolate in beg = 56
Step-by-step explanation:
Given:
Probability of randomly choosing a dark chocolate = 3/8
Number of dark chocolate = 21
Find:
Number of milk chocolate in beg
Computation:
Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate
Number of milk chocolate in beg = 21 / [3/8]
Number of milk chocolate in beg = 21[8/3]
Number of milk chocolate in beg = 7[8]
Number of milk chocolate in beg = 56
<h2>
I'm kind of confused about what you are asking but wouldn't this | be the answer? V</h2>
Answer: 2 inches per minute
Step-by-step explanation:
This is a fraction equal to
0.14285714285714 inches ÷ 0.071428571428571 minutes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 0.071428571428571
0.14285714285714 inches ÷ 0.071428571428571
<h3>
<u> </u></h3>
0.071428571428571 minutes ÷ 0.071428571428571
<h3>
= </h3>
2 inches
<h3>
<u> </u></h3>
1 minute
<h3>
= </h3>
2 inches
<h3>
<u> </u></h3>
minute
= 2 inches per minute
<span>2.204 x 10^9 is the correct answer.</span>
