Mathematics 9709 · AS & A Level · Series

Series — practice question

A firm that made salt from sea water switched to a different process. Each week, the quantity of salt produced rose by $2\%$ of the amount produced in the previous week. It is stated that during the first week after the change the firm produced $8000\text{ kg}$ of salt.
(i)[3]

Find the amount of salt produced in the $12^{\text{th}}$ week after the change.

(ii)[2]

Find the total amount of salt obtained during the first $12$ weeks after the change.

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