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Qiuyun TMUA Simulation Test Paper 1 · Q3

Paper 1Logic & proofSequences & seriesPowers & logarithms

Given a geometric sequence {an}\{a_n\}, we have the first term a1=43a_1=\dfrac43 and the common ratio q=43q=\dfrac43.

Which of the following statements is true about the sequence {ln⁡(an)}\{\ln(a_n)\}?

A{ln⁡(an)}\{\ln(a_n)\} is a geometric sequence and the common ratio is ln⁡(43)\ln\left(\frac43\right).
B{ln⁡(an)}\{\ln(a_n)\} is an arithmetic sequence and the common difference is 43\frac43.
C{ln⁡(an)}\{\ln(a_n)\} is an arithmetic sequence and the common difference is ln⁡(43)\ln\left(\frac43\right).
D{ln⁡(an)}\{\ln(a_n)\} is a geometric sequence and the common ratio is 43\frac43.
E{ln⁡(an)}\{\ln(a_n)\} is neither an arithmetic sequence nor a geometric sequence.

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