Answer :

Given the formula:

[tex]a_n=n^2+2n+1[/tex]

First term:

[tex]a_1=1^2+2(1)+1=1+2+1=4[/tex]

Second term:

[tex]a_2=2^2+2(2)+1=4+4+1=9[/tex]

Third term:

[tex]a_3=3^2+2(3)+1=9+6+1=16[/tex]

Fourth term:

[tex]a_4=4^2+2(4)+1=16+8+1=25[/tex]

Answer: the first four terms are: 4, 9, 16 and 25

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