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Math Help - expressions

  1. #1
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    expressions

    hi, i have a math problem

    Term ......... . . Pattern
    _________l__________________

    ...1 ............. 2
    ... 2 ............. 6
    ...3 ............. 18
    ...4 ............. 54
    ...5 ............. 162



    so the pattern is start at 2 times 3 each time. but i need a expression

    ex. n+5

    N is the term, N and something else has to give me the pattern

    please help me
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  2. #2
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    Quote Originally Posted by ashimashi View Post
    hi, i have a math problem

    Term ......... . . Pattern
    _________l__________________

    ...1 ............. 2
    ... 2 ............. 6
    ...3 ............. 18
    ...4 ............. 54
    ...5 ............. 162



    so the pattern is start at 2 times 3 each time. but i need a expression

    ex. n+5

    N is the term, N and something else has to give me the pattern

    please help me
    This is a geometric sequence, with t_1 = 2, r = 3.

    In a geometric sequence t_{n + 1} = rt_{n}.


    So t_2 = 3\cdot 2

    t_3 = 3\cdot 3 \cdot 2

    t_4 = 3\cdot 3\cdot 3 \cdot 2...


    Can you see that t_{n + 1} = 2\cdot 3^n?
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  3. #3
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    kk thank you
    Last edited by ashimashi; February 20th 2010 at 05:53 PM.
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