You divide the percentage by 100. So that would be 0.875
Answer:
decreasing, then increasing
Answer:
The
term of the given sequence
![t_{10} = \frac{5^{9} }{2^{8} }](https://tex.z-dn.net/?f=t_%7B10%7D%20%3D%20%5Cfrac%7B5%5E%7B9%7D%20%7D%7B2%5E%7B8%7D%20%7D)
Step-by-step explanation:
<u>Step(i):-</u>
Given sequence 2 , 5, ![\frac{25}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B2%7D)
First term a = 2
The difference of given geometric sequence
![d = \frac{r_{2} }{r_{1} } = \frac{5}{2}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7Br_%7B2%7D%20%7D%7Br_%7B1%7D%20%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
<u><em>Step(ii):-</em></u>
The
term of the given sequence
![t_{n} = ar^{n-1}](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%20ar%5E%7Bn-1%7D)
The
term of the given sequence
![t_{10} = (2)(\frac{5}{2} )^{10-1}](https://tex.z-dn.net/?f=t_%7B10%7D%20%3D%20%282%29%28%5Cfrac%7B5%7D%7B2%7D%20%29%5E%7B10-1%7D)
![t_{10} = (2)(\frac{5}{2} )^{9}= \frac{5^{9} }{2^{8} }](https://tex.z-dn.net/?f=t_%7B10%7D%20%3D%20%282%29%28%5Cfrac%7B5%7D%7B2%7D%20%29%5E%7B9%7D%3D%20%5Cfrac%7B5%5E%7B9%7D%20%7D%7B2%5E%7B8%7D%20%7D)