The question has no domain restriction therefor the answer is C. All real numbers.
a_3 is 45 and a_10 is 98415
Step-by-step explanation:
Given
a_1 = 5
a_2 = 15
First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.
So,
![r=\frac{a_2}{a_1} = \frac{15}{5} = 3](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D%20%3D%20%5Cfrac%7B15%7D%7B5%7D%20%3D%203)
The explicit formula for geometric sequence is:
![a_n = a_1.r^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1.r%5E%7Bn-1%7D)
Putting the value of r and a_1
![a_n = 5.(3)^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%205.%283%29%5E%7Bn-1%7D)
Putting n=3 in the explicit formula
![a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45](https://tex.z-dn.net/?f=a_3%20%3D5.3%5E%7B3-1%7D%5C%5C%3D%205%20%2A%203%5E2%5C%5C%3D5%20%2A%209%5C%5C%3D%2045)
Putting n=10 for tenth term
![a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415](https://tex.z-dn.net/?f=a_%7B10%7D%20%3D5.3%5E%7B10-1%7D%5C%5C%3D5%2A3%5E9%5C%5C%3D5%20%2A%2019683%5C%5C%3D98415)
Hence,
a_3 is 45 and a_10 is 98415
Keywords: Geometric sequence, Explicit formula
Learn more about geometric sequence at:
#LearnwithBrainly
Answer:
{19,13,7,1}
Step-by-step explanation:
Since the domain is the input we have to plug in each of those numbers to get the range ( or the output.) When we plug in -4 we get 19. When we plug in -2 we get 13, when we plug in 0 we get 7 and when we plug in 2 we get 1. (:
Answer:
Ox>5
x is less than 5
means nothing more than 5 but anything less than 5
$89.08 divided by 4 is $22.27, aka the price of one shirt