Question

If two g.ps have same common ratio then the ratio of their 10 th term is 100 then the ratio of their 100th term​

Answer 1

Answer:

100

Step-by-step explanation:

Let first term of both gps be a and b respectively . now nth term will be

$= a {r}^{n - 1} \: \: \: and \: \: \: b {r}^{n - 1}$

so ratio

$= \frac{a \: {r}^{n - 1} }{b \: {r}^{n - 1} } = \frac{a}{b}$

So ratio is independent of n and only depends on first term .

Answer 2

$\huge\star\underline\mathfrak\purple{Answer:-}$

Refer to the attachment above for your answer!!✔✔