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:
6
Step-by-step explanation:
Answer:
a)
b) SSA does not constitute a proof. You need another fact.
Step-by-step explanation:
You should actually show congruency first
Angles opposite = sides are themselves equal.
<C = 50o
<J = 50o
But there is nothing that says x is 1/2 of <JAC
So it's unsolvable
Part B also has the same conclusion.
Answer:
2/13
Explanation:
The bag has 6 red, 3 green, 4 blue.
Total marbles = 13
Probability of getting <u>blue the first time</u> would be 4/13 because 4 of the 13 total marbles are blue
Because you're not putting back the first marble, the total would go down to 12, so the probability of getting <u>red the second time</u> would be 6/12 or 1/2
The probability that the first marble is blue and the second marble is red = (4/13)(6/12) = 2/13
Answer:
A right triangle is 90 degrees so that means that the other two angles have to equal 90 degrees to get a total of 180 degrees.
