In a geometric progression the first term is ( 3 ) and the common ratio is ( 3 3 )

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

In a geometric progression the first term is 3\sqrt{3} and the common ratio is 33\dfrac{\sqrt{3}}{3}. (i) Calculate the eighth term, expressing your answer in simplest radical form. (ii) Verify that the product of the fifth and ninth terms is equal to the square of the seventh term.

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