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    Could anyone help me with part C of this question? I've been trying to learn about series today and I'm a bit confused, how can you find the sum of a series that doesn't have an end? I've had a look at the mark scheme and am none the wiser

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    hmmmmmm... Is the answer 25.92?
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    (Original post by kellyalisonchow)
    hmmmmmm... Is the answer 25.92?
    Yeah it is
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    (Original post by lacee_)
    Could anyone help me with part C of this question? I've been trying to learn about series today and I'm a bit confused, how can you find the sum of a series that doesn't have an end? I've had a look at the mark scheme and am none the wiser

    Name:  Question c.JPG
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    1. The sum to infinity of a geometric series that converges can be found using the formula

      s = a / (1-r)
      Where a is the first term and r is the common ratio.
      For part C, you simply minus the first 3 terms of the series from your answer to part B
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    it helps if you understand what the notation used in (c) actually means:

    it says "add up all the terms of the sequence from the 4th term up to infinity"

    Since you have already found the "sum to infinity" - which means from the first term up to infinity - in part (b), what you need to find now is the sum of all the terms less the first three. You are given the first term (48), and how to generate the next term (x0.6) and you have also found the third term in part (a), so you are ready to go!
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    (Original post by lacee_)
    Yeah it is
    SO... the question wants you to find the sum to infinty start from the 4th term
    which would be this
    Sum to infinity- sum of the first 3 terms
    = ans(b) minus 94.0
    =120-94.08
    =25.92
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    Much clearer now, I guess I just didn't really understand the notation properly. Thanks everyone
 
 
 
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