SOLUTION: A baker Has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24kg each day ?

Question 1155578: A baker Has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24kg each day ?
SHOW YOUR CALCULATIONS USING THE FORMULA an
Of an arithmetic sequence'
I need steps pleasee
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.


What he has each day (at the end of each day) is shown in this table


    Day      1     2        3          4

    Amount   400   400-24   400-2*24   400-3*24



This sequence is an Arithmetic progression (AP) with the first term  = 400  and the common difference  d = -24.



What he will have at the end of the 17-th day, is the 17-th term of this progression


     =  + (17-1)*d = 400 + 16*(-24) = 400 - 16*24 = 16 kilograms of flour.    ANSWER

Solved.

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    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site.

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    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".

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Free of charge online textbook in ALGEBRA-II
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