kaartikj16 kaartikj16
  • 11-06-2020
  • Mathematics
contestada

n th term of quadratic sequence 3, 11 , 25, 45

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ranau1199
ranau1199 ranau1199
  • 11-06-2020

The first differences are 8, 14, 20.

The second differences are 6.

Half of 6 is 3, so the first term of the sequence is 3n^2.

If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of -n + 1.

Therefore your final answer will be 3n^2 - n + 1

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