Find the common ratio for the series 64, 48, 36, 27, ... *

Common ratio = 3/4

Step-by-step explanation:

The nth term of a geometric progression is given by

an = a1 . rn - 1

Where;

an = the nth term

a1 = the first term

r = common ratio

n = the number of terms in the series

Common ratio, r = the ratio of the second term to the first term

= a2 : a1

Given from the series,

a2 = 48

a1 = 64

Common ratio, r = 48 : 64

= 48/64 = 3/4

answer: 20

step-by-step explanation:

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.