Question

the tenth term of gp is 1/2⁸ and the 5th term is 1/ 2³ what is the common ratio a option 1/2 b option 1/16 1/4 1/8​

Answer 1

Answer:

a) 1/2

Step-by-step explanation:

10th term of GP = ar⁹ = 1/2⁸

5th term of GP = ar⁴ = 1/2³

$\frac{10th \: term}{5th \: term} \\ \frac{a {r}^{9} }{a {r}^{4} } = \frac{ \frac{1}{ {2}^{8} } }{ \frac{1}{ {2}^{3} } } \\ {r}^{5} = \frac{ {2}^{3} }{ {2}^{8} } \\ {r}^{5} = {2}^{3 - 8} \\ {r}^{5} = {2}^{ - 5} \\ {r}^{5} = {( \frac{1}{2} )}^{5} \\ powers \: are \: equal \: base \: to \: be \: equated \\ r = \frac{1}{2}$

Hope you get your answer

Answer 2

Answer:

r=1/16

Step-by-step explanation:

correct ans.