Chapter 4.6, Problem 1E

To determine

The next three terms of the given arithmetic sequence.

Answer to Problem 1E

The next three terms are $36,48$ and $60$ .

Explanation of Solution

Given information: An arithmetic sequence $-12,0,12,24,\mathrm{...}$ is given.

Calculation:

Arranging the given data in a table,

  $\begin{array}{lllll}Position\hfill & 1\hfill & 2\hfill & 3\hfill & 4\hfill \\ Term\hfill & -12\hfill & 0\hfill & 12\hfill & 24\hfill \end{array}$

The difference between the each pair of consecutive terms is $12$ , writing next three terms in table,

  $\begin{array}{lllll}Position\hfill & 1\hfill & 2\hfill & 3\hfill & 4\hfill \\ Term\hfill & -12\hfill & 0\hfill & 12\hfill & 24\hfill \end{array}\begin{array}{lll}5\hfill & 6\hfill & 7\hfill \\ 36\hfill & 48\hfill & 60\hfill \end{array}$

Thus, the required terms are $36,48$ and $60$ .