What are the first four terms of the sequence shown below?

an = n^3 + ^2
A.
1, 2, 3, 4
B.
1, 12, 15, 20
C.
2, 12, 36, 80
D.
5, 10, 15, 18

Respuesta :

[tex]a_{n} = n^{3} + n^{2}[/tex]

[tex]a_{1} = 1^{3} + 1^{2}[/tex]

   = 1 + 1

    = 2

[tex]a_{2} = 2^{3} + 2^{2}[/tex]

   = 8 + 4

   = 12

[tex]a_{3} = 3^{3} + 3^{2}[/tex]

   = 27 + 9

   = 36

[tex]a_{4} = 4^{3} + 4^{2}[/tex]

   = 64 + 16

   = 80

Answer: C