Question

Find five numbers in G. P. such that their
product is 1024 and fifth term is square of the
third term.​

Answer 1

Answer:

let numbers

$\frac{a}{ {r}^{2} } \: \: \frac{a}{r} \: \: \: a \: \: \: ar \: \: \: a {r}^{2}$

Given

${a}^{5} = 1024 \\ a = \sqrt[5]{1024} = 4$

${a}^{2} = a{r}^{2} \\ {r}^{2} = a = 4 \\ r = \pm \: 2$

Can you find numbers now .