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27 October, 03:50

Graph the first six terms of a sequence where a1=5 and r=1.25

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  1. 27 October, 06:13
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    The sequence above is geometric progression.

    The nth term of such sequence is given by;

    Tn = ar∧ (n-1),

    Where a⇒first term and

    r⇒common ratio

    So, 1st term = 5*1.25∧ (1-1) = 5*1.25∧0 = 5

    2nd term = 5*1.25∧ (2-1) = 5*1.25 = 6.25

    3rd term = 5*1.25∧ (3-1) = 5*1.25² = 7.8125

    4th term = 5*1.25∧ (4-1) = 5*1.25³ = 9.765625

    5th term = 5*1.25∧ (5-1) = 5*1.25∧4 = 12.20703125

    6th term = 5*1.25∧ (6-1) = 5*1.25∧5 = 15.25878909
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