find the nth term of this quadratic sequence 2,8,18,32,50

Question

find the nth term of this quadratic sequence 2,8,18,32,50

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Parker 2 weeks 2021-11-16T07:25:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-16T07:26:31+00:00

    Answer:

    = 2n²

    Step-by-step explanation:

    From the sequence 2,8,18,32,50

    The difference between each numbers are

    : 6, 10, 14, 18

    The difference between the second sequence is 4.

    Therefore the nth term of the sequence is 2n²

    0
    2021-11-16T07:27:11+00:00

    Answer:

    2n²

    Step-by-step explanation:

    Since the sequence is quadratic we know this must involve an n² term

    Consider each term

    n = 1 → 1² = 1 → 1 × 2 = 2

    n = 2 → 2² = 4 → 4 × 2 = 8

    n = 3 → 3² = 9 → 9 × 2 = 18

    n = 4 → 4² = 16 → 16 × 2 = 32

    n = 5 → 5² = 25 → 25 × 2 = 50

    n = n → n² → n² × 2 = 2n²

    Thus the n th term is 2n²

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45:7+7-4:2-5:5*4+35:2 =? ( )