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=\(\dfrac{13}{5} + \dfrac{4}{5} = \dfrac{17}{5} = 3\dfrac{2}{5}\)
Final Answer: 3 2/5