can you continue this pattern 1,5,13,29

Discussion in 'Calculator Requests' started by math_celebrity, Mar 14, 2021.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    can you continue this pattern 1,5,13,29

    Looking at the numbers, we see a pattern of the next number as the prior number * 2 and then add 3

    With each term as t(n), we find t(n + 1) as:
    t(n + 1) = 2*t(n) + 3

    t(2) = 2(1) + 3 = 2 + 3 = 5
    t(3) = 2(5) + 3 = 10 + 3 = 13
    t(4) = 2(13) + 3 = 26 + 3 = 29
    t(5) = 2(29) + 3 = 58 + 3 = 61
     

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