(vi) 0.1, 0.01, 0.001, 0.0001, .... (1 mark)

(vi) 0.1, 0.01, 0.001, 0.0001, .... (1 mark)

Sol. t₁ = 0.1

t₂ = 0.1 × 0.1 = 0.01

t₃ = 0.01 × 0.1 = 0.001

t₄ = 0.001 × 0.1 = 0.0001

t₅ = 0.0001 × 0.1 = 0.00001

t₆ = 0.00001 × 0.1 = 0.000001

t₇ = 0.000001 × 0.1 = 0.0000001

t₈ = 0.0000001 × 0.1 = 0.00000001

The next four terms of the sequence are 0.00001, 0.000001,

0.0000001 and 0.00000001.