Chapter 4, Problem 27CR

To determine

To write: the next three terms of the arithmetic sequence.

Answer to Problem 27CR

The next three terms are $\frac{3}{8},\frac{1}{4}\left(\frac{1}{4}isequalto\frac{2}{8}\right),\frac{1}{8}$

Explanation of Solution

Given:

  $\frac{7}{8},\frac{3}{4},\frac{5}{8},\frac{1}{2},\mathrm{...}$

Calculation:

This clearly shows the numerator decreasing by 1 unit each term.

If all the fractions are converted to have a denominator of 8, the sequence becomes $\frac{7}{8},\frac{6}{8},\frac{5}{8},\frac{4}{8}$ .

Conclusion:

The next three terms are $\frac{3}{8},\frac{1}{4}\left(\frac{1}{4}isequalto\frac{2}{8}\right),\frac{1}{8}$