If the 3

If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.

Correct answer:

r =  0.3333

Step-by-step explanation:

$$\begin{gathered} a_6=4 \\ {a}_{10}={\displaystyle \frac{4}{81}}={\displaystyle \frac{4}{81}}\doteq 0.0494 \\ {a}_{10}=a_6\cdot r^{10-6} \\ r=\sqrt[4]{a_{10}\mathrm{/}{a}_6}=\sqrt[4]{0.0494\mathrm{/}4}={\displaystyle \frac{1}{3}}=0.3333 \end{gathered}$$

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