Answer:
Where is the graph? pls show graph so we can answer :)
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
![r=\dfrac{a_2}{a_1}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Ba_2%7D%7Ba_1%7D)
![r=\dfrac{560}{1120}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B560%7D%7B1120%7D)
![r=0.5](https://tex.z-dn.net/?f=r%3D0.5)
The nth term of a geometric sequence is:
![a_n=ar^{n-1}](https://tex.z-dn.net/?f=a_n%3Dar%5E%7Bn-1%7D)
Where a is the first term and r is the common ratio.
Putting
, we get
![a_n=1120(0.5)^{n-1}](https://tex.z-dn.net/?f=a_n%3D1120%280.5%29%5E%7Bn-1%7D)
Therefore, the required formula for the given sequence is
.
We need to find the 10th term of the given sequence. So, substituting
in the above formula.
![a_{10}=1120(0.5)^{10-1}](https://tex.z-dn.net/?f=a_%7B10%7D%3D1120%280.5%29%5E%7B10-1%7D)
![a_{10}=1120(0.5)^{9}](https://tex.z-dn.net/?f=a_%7B10%7D%3D1120%280.5%29%5E%7B9%7D)
![a_{10}=1120(0.001953125)](https://tex.z-dn.net/?f=a_%7B10%7D%3D1120%280.001953125%29)
![a_{10}=2.1875](https://tex.z-dn.net/?f=a_%7B10%7D%3D2.1875)
Therefore, the 10th term of the given sequence is 2.1875.
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Answer: Option (A) is the correct answer.
Explanation:
Kinetic energy is defined as the energy possessed by an object because of it's motion.
Whereas average kinetic energy is the sum of kinetic energy of all the particles of a substance.
Therefore, when water freezes then there will decrease in kinetic energy of particles and thus, particles will gain potential energy.
Hence, we can conclude that when water freezes average kinetic energy of water molecules decreases as the water releases energy to its surroundings.