sageshere123 sageshere123
  • 03-01-2021
  • Mathematics
contestada

Find the nth term of this quadratic sequence
4,9, 16, 25, 36,​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-01-2021

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

[tex]a_{n}[/tex] = (n + 1)²

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