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Math Help - Sequences

  1. #1
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    Sequences

    This sequence is defined implicitly. List the first six terms of this sequence.

    a0 = 1 and an+1 = an + (1/(2^n))

    The 0 and the an's are suppose to be small and lower to the letters, you know what I mean I hope!
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  2. #2
    Member mohammadfawaz's Avatar
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    you should simply follow the recurrence given:
    a_0=1
    a_1=a_0+\frac{1}{2^0}=1+\frac{1}{2^0}=2
    a_2=a_1+\frac{1}{2^1}=2+\frac{1}{2^1}=2.5
    and so on...

    hope this helps
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  3. #3
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    Is a0 part of the "six" terms thus I only find the terms for a0 to a5, or do I just find out from a1-a6? It says the "first six terms"....
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  4. #4
    Member mohammadfawaz's Avatar
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    I think what is meant is the first six terms starting form a_0 since the sequence is defined by a_0 as the first term. Hence you should provide a_0....... a_5
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