If $\mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, \mathrm{a}_{4}, \mathrm{a}_{5}, \ldots$ is a geometric sequence with common ratio $\mathrm{r}$, show that $\mathrm{a}_{1}, \mathrm{a}_{4}, \mathrm{a}_{7}$, a10 is a geometric sequence.

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The Answer of If $\mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, \mathrm{a}_{4}, \mathrm{a}_{5}, \ldots$ is a geometric sequence with common ratio $\mathrm{r}$, show that $\mathrm{a}_{1}, \mathrm{a}_{4}, \mathrm{a}_{7}$, a10 is a geometric sequence.

If a1,a2,a3,a4,a5,…\mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, \mathrm{a}_{4}, \mathrm{a}_{5}, \ldotsa1​,a2​,a3​,a4​,a5​,… Is a Geometric Sequence with Common Ratio

If $\mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, \mathrm{a}_{4}, \mathrm{a}_{5}, \ldots$ Is a Geometric Sequence with Common Ratio