WBJEE · Maths · Sequences and Series
The sequence \(\log \mathrm{a}, \log \frac{\mathrm{a}^2}{\mathrm{~b}}, \log \frac{\mathrm{a}^3}{\mathrm{~b}^2}, \ldots \ldots \ldots\). is
- A a GP.
- B an A.P.
- C a H.P.
- D both a G.P. and a H.P
Answer & Solution
Correct Answer
(B) an A.P.
Step-by-step Solution
Detailed explanation
\(\begin{aligned}\text {Hints: } & \log \mathrm{a} \cdot(2 \log \mathrm{a}-\log \mathrm{b})(3 \log \mathrm{a}-2 \log \mathrm{b}) \\ & =\mathrm{T}_2-\mathrm{T}_1=\log \mathrm{a}-\log \mathrm{b} \\ = & \mathrm{T}_3-\mathrm{T}_2=\log \mathrm{a}-\log \mathrm{b} \end{aligned}\)
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