Question 1 Multiple Choice Worth 5 points)
1 answer:
![\boxed{a_{n}=5-2(n-1)}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7Bn%7D%3D5-2%28n-1%29%7D)
- The domain is any natural number.
<h2>
Explanation:</h2>
The arithmetic sequence is defined as Follows:
<em>A sequence of numbers whenever the difference of any two successive members of the sequence remains constant.</em>
The explicit equation of any arithmetic sequence can be written as follows:
![a_{n}=a_{1}+d(n-1) \\ \\ \\ a_{1}: First \ term \\ \\ a_{n}:nth \ term \\ \\ d:Common \ ratio \\ \\ n:Number \ of \ term](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2Bd%28n-1%29%20%5C%5C%20%5C%5C%20%5C%5C%20a_%7B1%7D%3A%20First%20%5C%20term%20%5C%5C%20%5C%5C%20a_%7Bn%7D%3Anth%20%5C%20term%20%5C%5C%20%5C%5C%20d%3ACommon%20%5C%20ratio%20%5C%5C%20%5C%5C%20n%3ANumber%20%5C%20of%20%5C%20term)
So here we know:
- First term is 5
- Second term is 3
![a_{1}=5 \\ \\ a_{2}=5+d(2-1)=3 \\ \\ \\ Isolating \ d: \\ \\ d=3-5 \\ \\ d=-2](https://tex.z-dn.net/?f=a_%7B1%7D%3D5%20%5C%5C%20%5C%5C%20a_%7B2%7D%3D5%2Bd%282-1%29%3D3%20%5C%5C%20%5C%5C%20%5C%5C%20Isolating%20%5C%20d%3A%20%5C%5C%20%5C%5C%20d%3D3-5%20%5C%5C%20%5C%5C%20d%3D-2)
Finally, the explicit formula is:
![\boxed{a_{n}=5-2(n-1)}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7Bn%7D%3D5-2%28n-1%29%7D)
Moreover, the domain is any natural number.
<h2>Learn more:</h2>
Arithmetic sequence: brainly.com/question/10143621
#LearnWithBrainly
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