Expressin σ notation.

The coefficient on starts at 14 and decreases by 2 until it reaches 0. Similarly, the coefficient on starts at 0 and increases by 1 until it reaches 7.

So the general -th term of the sum might by

where starts at 1. Because the last term in the sum is , we deduce that there are terms in the entire sum, so we have

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!