Respuesta :

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:

  • brainly.com/question/1349456
  • brainly.com/question/1332667

#LearnwithBrainly