It is known that all items of the equal ratio sequence {an} are positive numbers. For m  n +, am * am + 10 = a, am + 50 * am + 60 = B, then am + 125 * am + 135=

It is known that all items of the equal ratio sequence {an} are positive numbers. For m  n +, am * am + 10 = a, am + 50 * am + 60 = B, then am + 125 * am + 135=


am+125*am+135=(am+130)^2,am*am+10=(am+5)^2,am+50*am+60=(am+55)^2am*am+10=am*am*q^10=am^2*q^10=a,①am+50*am+60=am*q^50*am*q^60=am^2*q^110=b,②②/① q^100=b/a am+125*am+135=am*q^125+am*q^135=am^2*q^260=...



The formula of mathematical sequence. {an} is equal to AM / an
If {an} is an equal ratio sequence, then am / an is equal to (common ratio is q)


Am=An*q^(m-n)
Am/An=q^(m-n)