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Math Help - Arithmetic Sequences

  1. #1
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    Arithmetic Sequences

    I have a question regarding arithmetic sequences, where the general form is U_n=U_1+(n-1)d

    The question is:

    A sequence is defined by U_n=3n-2
    a) What is the least term of the sequence which is greater than 4500?

    I'd appreciate any help! Thank you ^^
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  2. #2
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    Quote Originally Posted by maybealways View Post
    I have a question regarding arithmetic sequences, where the general form is U_n=U_1+(n-1)d

    The question is:

    A sequence is defined by U_n=3n-2
    a) What is the least term of the sequence which is greater than 4500?

    I'd appreciate any help! Thank you ^^
    n tells you which term.

    Since this must be greater than 4500...

    U_n = 3n - 2 > 4500

    3n > 4498

    n > 1499.33333\dots.


    The smallest n which satisfies this inequality is n = 1500.

    Check with substitution if you like...
    Last edited by Prove It; April 19th 2009 at 03:43 PM.
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