Find the 8th term in the geometric sequence below. 65,536, 24,576, 9,216, 3,456, 1,296, …
1 answer:
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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.
Given:
The expression is
To find:
The value of the given expression when y=-5.
Solution:
We have,
Putting y=-5, we get
Therefore, the value of the given expression is 50 when y=-5.