Question

show that 6, 36, 216 are in continued proportion

Answer 1

they all are multiplied by 6,
6=6¹
6x6=36=6²
6x6x6=216=6³
i hope it helps

Answer 2

Answer:

The given numbers are in GP, with common ratio 6. So, 6, 36, 216 are in continued proportion.

Step-by-step explanation:

The given numbers are 6,36,216.

$\frac{a_2}{a_1}=\frac{36}{6}=6$

$\frac{a_3}{a_2}=\frac{216}{36}=6$

The given numbers are in GP, with common ratio 6.

Since $\frac{a_2}{a_1}=\frac{a_3}{a_2}$, therefore 6, 36, 216 are in continued proportion.

Hence proved.