First 5 terms are: -1,0,3,8,15
Step-by-step explanation:
we will put n=1,2,3,4,5 to find first 5 terms of the sequence
Explicit formula for sequence is:
![a_n = n^2-2n](https://tex.z-dn.net/?f=a_n%20%3D%20n%5E2-2n)
Putting n=1
![a_1 = (1)^2-2(1)\\= 1-2\\= -1](https://tex.z-dn.net/?f=a_1%20%3D%20%281%29%5E2-2%281%29%5C%5C%3D%201-2%5C%5C%3D%20-1)
Putting n=2
![a_2 = (2)^2-2(2)\\= 4 - 4 \\=0](https://tex.z-dn.net/?f=a_2%20%3D%20%282%29%5E2-2%282%29%5C%5C%3D%204%20-%204%20%5C%5C%3D0)
Putting n=3
![a_3 = (3)^2-2(3)\\= 9-6\\= 3](https://tex.z-dn.net/?f=a_3%20%3D%20%283%29%5E2-2%283%29%5C%5C%3D%209-6%5C%5C%3D%203)
Putting n=4
![a_4 = (4)^2 - 2(4)\\= 16-8 \\= 8](https://tex.z-dn.net/?f=a_4%20%3D%20%284%29%5E2%20-%202%284%29%5C%5C%3D%2016-8%20%5C%5C%3D%208)
Putting n=5
![a_5 = (5)^2-2(5)\\= 25 - 10\\= 15](https://tex.z-dn.net/?f=a_5%20%3D%20%285%29%5E2-2%285%29%5C%5C%3D%2025%20-%2010%5C%5C%3D%2015)
Hence,
First 5 terms are: -1,0,3,8,15
Keywords: Arithmetic sequence, Common difference
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