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17 July, 22:09

What's the 4th term of the sequence defined by An=2a (n-1) + 4; a1=7?

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  1. 17 July, 22:19
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    84

    Step-by-step explanation:

    The sequence is:

    An=2a (n-1) + 4

    The first term is:

    a1=7

    So, lets find out A2.

    A2 = 2A (2-1) + 4

    A2 = 2*A1 + 4

    A2 = 2*7 + 4

    A2 = 14 + 4 = 18

    The third term, A3 is:

    A3 = 2A (3-1) + 4

    A3 = 2*A2 + 4

    A3 = 2*18 + 4 = 36+4 = 40

    Finally, the fourth term, A4 is:

    A4 = 2A (4-1) + 4

    A4 = 2*A3 + 4

    A4 = 2*40 + 4 = 80+4 = 84

    The 4th term is 84.
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