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:
Pedro would earn $703,500 more if he got his bachelor's degree in architecture over a 30 year career as opposed to an associate's degree in drafting.
Step-by-step explanation:
Drafter: 53,480 x 30 = 1,604,400
Architect: 76,930 x 30 = 2,307,900
2,307,900 - 1,604,400 = 703,500
Answer:
Let the 2nd fraction be a/b then according to question,
1st fraction is 4a/3b
Now,
4a/3b-a/b=2/9
(4a-3a)/3b=2/9
a/3b=2/9
compairing corresponding elements of fraction,
a=2
And,
3b=9
b=3
Answer:
sin 70 degrees = 0.9396, 0.9396*3 approximately equal to the 2.82cm one area is 6*2.82/2=8.46cm²
Step-by-step explanation:
- Known this square covers an area of 36 cm square, so its length is 6 cm.
- so, we know that the lower side of the triangle is six, half of it is 3 cm.
- We make a triangle, and then the Angle of the triangle is 70 degrees, so, we can use the sin is to use bottom neighborhood is sin70 degrees = hemline is present in addition to 3cm.
Answer:
Step-by-step explanation:
Tan 54 = 
Where opposite = 16, Adjacent = BC
1.376 = 
BC = 16/1.376
BC = 11.62
