Respuesta :

Answer:

The first five terms of the given sequence

3, 6, 11, 18, 27

Step-by-step explanation:

It is given that,

an=n² +2​

To find the first five terms

a₁ = 1² + 2 = 1 + 2 = 3

a₂ = 2² + 2 = 4 + 2 = 6

a₃ = 3² + 2 = 9 + 2 = 11

a₄ = 4² + 2 = 16 + 8 = 18

a₅ = 5² + 2 = 25 + 2 = 27

Therefore the first five terms of the given sequence

3, 6, 11, 18, 27

The first five terms of the sequence. an=n2 +2​ are 3, 6, 11, 18 and 27.

The sequence is given as n² + 2.

  • The first term will be:

= n² + 2 = 1² + 2 = 1 + 2 = 3

  • The second term will be:

= n² + 2 = 2² + 2 = 4 + 2 = 6

  • The third term will be:

= n² + 2 = 3² + 2 = 9 + 2 = 11

  • The fourth term will be:

= n² + 2 = 4² + 2 = 16 + 2 = 18

  • The fifth term will be:

= n² + 2 = 5² + 2 = 25 + 2 = 27

Therefore, the first five terms of the sequence. an=n2 +2​ are 3, 6, 11, 18 and 27.

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