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:
[tex]a_n = n^2-2n[/tex]
Putting n=1
[tex]a_1 = (1)^2-2(1)\\= 1-2\\= -1[/tex]
Putting n=2
[tex]a_2 = (2)^2-2(2)\\= 4 - 4 \\=0[/tex]
Putting n=3
[tex]a_3 = (3)^2-2(3)\\= 9-6\\= 3[/tex]
Putting n=4
[tex]a_4 = (4)^2 - 2(4)\\= 16-8 \\= 8[/tex]
Putting n=5
[tex]a_5 = (5)^2-2(5)\\= 25 - 10\\= 15[/tex]
Hence,
First 5 terms are: -1,0,3,8,15
Keywords: Arithmetic sequence, Common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly