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.
X = 1st number
y = 2nd number
x + y = 200
x : y = 4 : 6
ok! let's substitute numbers!
4 * 10 : 6 * 10
40 : 60
40 + 60 = 200
100 ≠ 200
Too small!
That is exactly two times smaller than 200 so let's try 2 times greater than multiplying by 10
4 * 20 : 6 * 20
80 : 120
80 + 120 = 200
200 = 200
Now it says to find the larger number. Which is y.
x :y = 4 : 6 = 80 : 120
so, y is 120
y = 120
Answer : y = 120. The larger number is 120.
Answer: 80
Step-by-step explanation:
2001-1441=560
560/7=80
80 x7=560
Answer:
16.1
Step-by-step explanation:
15 is 6 because 12 divided by 2 is 6
19 is 12 because 12-3 is 9
