Answer :

chibabykalu16

Answer:

10th term is 55

11th term is 89

Step-by-step explanation:

Given:

  • 1,1,2,3,5,8,13,21,34,----,-----

We first need to iterate through and find the patterns in the series:

[tex]n_{x - 1} - n_x = d[/tex]

  • 1 - 1 = 0
  • 2 - 1 = 1
  • 3 - 2 = 1
  • 5 - 3 = 2
  • 8 - 5 = 3
  • 13 - 8 = 5
  • 21 - 13 = 8
  • 34 - 21 = 13

Aha! As we see the differences are the resulting repeating series

So the next two terms are as follows;

[tex]n_{10} = 34 + 21 = 55[/tex]

[tex]n_{11} = 55 + 34 = 89[/tex]

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