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Geometric Sequences and Series · Paper 2 — Free Maths AI HL Practice Questions

1MasterySAQ-SDefinition and general term of geometric sequences6 marksPaper 2~9 min
A new social media app has 50005000 users when it launches. The number of users increases by 8%8\% each month. The number of users after nn months is modelled by a geometric sequence with first term u1=5000u_1 = 5000.
(a)
Write down the common ratio, rr, of this geometric sequence. [1 mark]
(b)
Calculate the number of users after 66 months. Give your answer correct to the nearest whole number. [2 marks]
(c)
Determine the month in which the number of users first exceeds 12 00012\,000. [3 marks]
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Solutions

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