Question

Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = $\frac{3}{6}$

Answer 1

Substituting n = 1, 2, 3, 4, 5, we obtain

a1 = 2×1-$\frac{3}{6} =\frac{-1}{6}$

a2 = 2×2-$\frac{3}{6} = \frac{1}{6}$

a3 = 2×3-$\frac{3}{6} = \frac{3}{6} = \frac{1}{2}$

a4 = 2×4-$\frac{3}{6} = \frac{5}{6}$

a5 = 2×5-$\frac{3}{6} = \frac{7}{6}$

Therefore, the required terms are $\frac{-1}{6}, \frac{1}{6},\frac{1}{2}, \frac{5}{6}, and \frac{7}{6}$