Find S sub 12 for the geometric series:
1.5+ (-3) + 6 +

S12 for geometric series: 1.5+ (-3) + 6 +.... would be: -2047.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

A geometric sequence has a constant ratio 'r' and is defined by

as

                                           ∵

Thus, S12 for geometric series: 1.5+ (-3) + 6 +.... would be: -2047.5

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.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column