Arithmetric and Geometric Series

[maali5]

Homework Statement

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?

The Attempt at a Solution

i) a= 3428-34= 3396

d= 34

n= 1 week time = 604800



1 week

60.60.24.7=604800




Un=a+(n-1)d


Un=3396+ (604799.34)

= 20566596



ii) Is it? 20566596/13526 = 1520 1 day

 

[NewtonianAlch]

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.

 

[HallsofIvy]

Homework Statement

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?

The Attempt at a Solution

i) a= 3428-34= 3396

d= 34

n= 1 week time = 604800
1 week

60.60.24.7=604800

?? 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.

Un=a+(n-1)dUn=3396+ (604799.34)

= 20566596
ii) Is it? 20566596/13526 = 1520 1 day

 

[maali5]

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