Answer to Question #75319 in Algebra for GBSM

Question

A CNC machine has been programmed to drill 10 blind holes in a piece of flat plate. Each hole has a
depth which increments from the previous one by an amount derived from an arithmetic progression
(AP).
Hole 1 has a depth of 2 mm.
Hole 10 has a depth of 29 mm.
 Calculate, using an analytical method, the common difference of the hole depths.
 Ignoring the pull back and repositioning times, calculate the total time spent cutting metal
if the spindle feed rate is set at 2 mm/sec.