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7 June, 18:02

Use your formula from question 2c to find the values of t7 and t20. (r=7; 2,14,98,686) (Geometric Sequence)

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  1. 7 June, 18:16
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    Step-by-step explanation:

    The formula for determining the nth term of a geometric progression is expressed as

    Tn = ar^ (n - 1)

    Where

    a represents the first term of the sequence.

    r represents the common ratio.

    n represents the number of terms.

    From the information given,

    a = 2

    r = 14/2 = 7

    To find T7,

    n = 7

    T7 = 2 * 7^ (7 - 1)

    T7 = 2 * 7^6

    T7 = 235298

    To find T20,

    n = 20

    T20 = 2 * 7^ (20 - 1)

    T7 = 2 * 7^19

    T7 = 22797790370746286
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