Geometric sequence question

G

Guest

Guest
A clever new toy comes onto the market and sells 20000 units in the first month. Popularity wanes and each month, the sales are only 70% of the sales in the previous month.

a) How many units are sold eventually?
b) What proportion is sold in the first 6 months?
c) In which month will monthly sales first drop below 500 per month?
d) What proportion are sold before this month?

My answers are

a) 66,666 units
b) 88.2 %
c) 12 months
d) 98%

I just need someone to PLEASE confirm that I am doing it correctly.

thank you
 
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