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Elan Coil [88]
2 years ago
12

What is the nth term of the quadratic sequence 3 11 24 45

Mathematics
1 answer:
Anna71 [15]2 years ago
3 0

9514 1404 393

Answer:

  a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3

Step-by-step explanation:

The first differences are 8, 13, 21. The second differences are 5, 8. The second differences are not constant, so this is <em>not a quadratic sequence</em>.

If we assume it is a cubic sequence, a calculator tells us the formula is ...

  a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3

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