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Find the 7th term of sqrt(2), sqrt(10), 5*sqrt(2), ...

 Jun 24, 2022
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sqrt (2) , sqrt (10) , 5sqrt (2)     rewrite as

 

sqrt (2) , sqrt (5)*sqrt (2) , 5sqrt (2)

 

The common ratio is     5 sqrt (2)  /( sqrt (5) * sqrt (2) )  =   sqrt (5)

 

The 7th term is

 

sqrt (2) * (sqrt (5))^6  =

 

sqrt (2) (5^(1/2))^6  =

 

sqrt (2) * 5^3  =

 

125 sqrt (2)

 

 

cool cool cool

 Jun 24, 2022

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