Unit 1Topic 1.3Question BankSL

Mathematics: Applications and Interpretation · Unit 1: Number and Algebra

Geometric sequences and series

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9

Questions

59

Total marks

Question 1 of 99 marks

Geometric nth terms, finite sums and growth/decay

[Maximum mark: 9]In a geometric sequence $u_2 = 54$ and $u_4 = 486$ (a) Find the possible values of the common ratio, $r$ [4](b) Given that $r < 0$ (i) Find the $7^{th}$ term of the sequence.(ii) Find the sum of the first $7$ terms of the sequence.[5]