| To find a pattern with mixed numbers, convert all to improper fractions. Look for a common difference. |
| Convert all to improper fractions with denominator 5. | ||
| \(\dfrac{1}{5}\) | = | 1/5 |
| 1 | = | \(\dfrac{5}{5}\) |
| \(1\dfrac{4}{5}\) | = | \(\dfrac{9}{5}\) |
| \(2\dfrac{3}{5}\) | = | \(\dfrac{13}{5}\) |
| Pattern: 1/5, 5/5, 9/5, 13/5 — each term increases by 4/5. | ||
| Next term | = | \(\dfrac{13}{5} + \dfrac{4}{5} = \dfrac{17}{5} = 3\dfrac{2}{5}\) |