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Arithmetric and Geometric Series

  1. Apr 29, 2012 #1
    1. The problem statement, all variables and given/known data

    A ) A company produces microchips. It has some in storage and produces 34 an hour. After 1 hour it has a total of 3428 microchips
    i) How many chips will the company have a week later, assuming the production continues 24 hours a day?

    ii)An order is put in for 13,526 chips. In days and hours, how long will it take before the order can be met?

    3. The attempt at a solution

    i) a= 3428-34= 3396

    d= 34

    n= 1 week time = 604800

    1 week


    Un=3396+ (604799.34)

    = 20566596

    ii) Is it? 20566596/13526 = 1520 1 day
  2. jcsd
  3. Apr 29, 2012 #2
    How many hours in a week? (24 x 7) = 168 hours.

    You need to first calculate how many chips they can produce in 1 day (24 hours). From that you can subtract from the total chips to find how much was in storage.

    That's a starting point.
  4. Apr 29, 2012 #3


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    Staff Emeritus
    Science Advisor

    ?? There are 7 days in a week, 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute so there are 605800 seconds in a week. But you are told that you are producing 34 chips an hour. Why are you multiplying by the number of seconds? You are producing 34 chips per hour for 24(7)= 168 hours.

  5. May 22, 2012 #4
    Sorry for not replying earlier.

    take 2:

    24.7 = 168 hours

    U= a + (n-1) d

    u= 3428 + (168-1) 34

    u= 9106

    b)ii)An order is put in for 13,526 chips. In days and hours, how long will it take before the order can be met?

    I know you have to use the formula Sn= 1/2 n (2a + (n-1))d

    Is sn= 13526

    13526= 0.5 n (

    but then I am lost
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