Galaxiez
Galaxiez Galaxiez
  • 18-12-2018
  • Mathematics
contestada

Find a recursive formula for the sequence:

3, -5, 11, -21

Find a recursive formula for the sequence 3 5 11 21 class=

Respuesta :

Аноним Аноним
  • 18-12-2018

The correct option is the last:

[tex] a_n = -2a_{n-1}+1 [/tex]

In fact, every term in the sequence is one more than twice the opposite of the previous one:

We start with 3. Twice its opposite is -6. Plus one, we get -5.

We start with -5. Twice its opposite is 10. Plus one, we get 11.

We start with 11. Twice its opposite is -22. Plus one, we get -21.

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