PRC-2 · Chapter 3 · Question 21 of 45
A retailer sells 1,024 units of an obsolete product in January. Sales volume is strictly halved each month thereafter. The product is discontinued entirely after the month where only 1 unit is sold. How many total units are sold over this period?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 2,046
Explanation
This is a GP where a=1024 and r=0.5. The sequence ends at 1, which represents 11 total terms (1024 * 0.5^10 = 1). The sum S = 1024(1 - 0.5^11) / 0.5 = 2048(1 - 1/2048) = 2048 - 1 = 2046 units.
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