Chapter 5.2, Problem 36E

(a)

To determine

The numbers $x_1,x_2,\mathrm{........}{x}_n$ such that for positive numbers $a$ and $b$, $a,x_1,x_2,\mathrm{........}{x}_n,b$ is an arithmetic sequence.

(b)

To determine

The numbers $x_1,x_2,\mathrm{........}{x}_n$ such that for positive numbers $a$ and $b$, $a,x_1,x_2,\mathrm{........}{x}_n,b$ is a geometric sequence.