Question: A geometric sequence has first term 200 and a common ratio p where p > 0. The 6th term of the sequence is 40. a.

A geometric sequence has first term 200 and a common ratio p where p > 0. The 6th term of the sequence is 40.

a. Show that p satisfies the equation 5 log p + log 5 = 0.

b. Hence or otherwise, find the value of p correct to 3 significant figures.

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