What is the sum of the geometric series?

Step-by-step explanation:

Since you are only going out 4 terms, you could just list the terms and add.

5*(-2/3)^0 = 5 * 1 = 5

5*(-2/3)^1 = 5 *(-2/3) = -10/3

5*( - 2/3)^2 = 5*(-2/3)^2 = 5*(4/9) = 20/9

5*(-2/3)^3 = 5*(-2/3)^3= 5 *(-8/27) = -40/27

Answer

5 - 10/3 + 20/9 - 40/27

5 - 90/27 + 60/27 - 40/27

5 - 70/27

2 11/27

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

irrational, cannot