Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 2, 1
1 answer:
Answer:
geometric with r =
Step-by-step explanation:
An arithmetic sequence has a common difference (d) between consecutive terms
2 - 4 = - 2
1 - 2 = - 1
Then d is not common , not an arithmetic sequence
A geometric sequence has a common ratio (r ) between consecutive terms
2 ÷ 4 = 0.5
1 ÷ 2 = 0.5
Then common ratio r =
Thus sequence is geometric
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Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
The volume of a cuboid is:
Where, l is length, w is width and h is height.
Putting , we get
Divide both sides by 2.
Taking cube root on both sides.
Now, the height of the container is:
Therefore, the height of the container is 20 cm.
Answer:
The answer is option C.
<h3>-6, -5 2/5, -4 1/5</h3>Step-by-step explanation:
The arithmetic sequence is given by
where n is the number of terms
<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>
n = 1
So we have
<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>
n = 4
<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>
n = 10
Hope this helps you