ICSE Class 10 Answered

Find two geometric means between 3 and 81.

Asked by Topperlearning User | 27 Nov, 2017, 02:44: PM

Expert Answer

$begin mathsize 12px style Let space four space geometric space means space are straight a comma space ar comma space ar squared comma space ar cubed Given space that space straight a equals 3 space and space ar cubed equals 81 rightwards double arrow 3 straight r cubed equals 81 rightwards double arrow straight r cubed equals 27 rightwards double arrow straight r equals 3 Hence comma space second space term space equals space 3 straight r equals 3 cross times 3 equals 9 Third space term space equals space 3 straight r squared equals 3 cross times 3 squared space equals 27 end style$