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Find the first geometric threshold index

Question 1 of 8

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A sequence is defined by \(u_0 = 59\)

Each next term is found by multiplying the term before it by \(\frac{6}{5}\)

(a)1 mark

What is the smallest value of n for which \(u_n\) will first exceed 165?

Format: whole number
(b)1 mark

What is the value of the term at that point? Give your answer to the nearest whole number