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24 December, 00:47

Recursive formula 6,7,7.5,7.75

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  1. 24 December, 01:21
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    6, 7, 7.5, 7.75

    If we look, after the first two number, the next is gotten by adding half of the difference of the two numbers before to the last number.

    6, 7

    The next is:

    7 - 6 = 1,

    1/2 = 0.5

    7 + 0.5 = 7.5 So the next is 7.5.

    So we have 7 and 7.5

    7.5 - 7 = 0.5

    0.5/2 = 0.25

    7.5 + 0.25 = 7.75

    So if we have Tₓ, Tₓ₊₁,

    So by observation, we can say the recursive formula is:

    Tₓ₊₂ = Tₓ₊₁ + (Tₓ₊₁ - Tₓ) / 2
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