Question Number 149424 by mathdanisur last updated on 05/Aug/21

geometric series ((b_4 ∙b_7 ∙b_(10) )/(b_1 ∙b_3 ∙b_5 )) = 2^(12) find (b_5 /b_2 ) = ?

Answered by nimnim last updated on 05/Aug/21

b_n =ar^(n−1) , then we have ((ar^3 .ar^6 .ar^9 )/(a.ar^2 .ar^4 ))=2^(12) ⇒ r^(12) =2^(12) ⇒r=2 ∴ (b_5 /b_2 )=((ar^4 )/(ar))=r^3 =2^3 =8 ★

Commented bymathdanisur last updated on 05/Aug/21

Thank you Ser