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29 April, 09:07

For the sequence 9,6,3,0 find the common difference or ratio, the explict formula, recursive formula

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  1. 29 April, 09:38
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    9, 6, 3, 0

    a = Ist Term = 9.

    Common difference is = T2 - T1 = 6 - 9 = - 3.

    The sequence is an Arithmetic Progression AP = a + (n-1) * d

    Tn = a + (n-1) * d

    Tn = 9 + (n-1) * (-3). Expand and simplify.

    Tn = 9 - 3n + 3.

    Tn = 12 - 3n.

    Hence the recursive formula is = 12 - 3n. Where n = position of term. n = 1, 2, 3, ...
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