For each sequence, find the next four terms. (i) 1, 2, 4, 7, 11, ..... (1 mark)

1. For each sequence, find the next four terms.

(i) 1, 2, 4, 7, 11, ..... (1 mark)

Sol. t₁ = 1 + 0 = 1

t₂ = 1 + 1 = 2

t₃ = 2 + 2 = 4

t₄ = 4 + 3 = 7

t₅ = 7 + 4 = 11

t₆ = 11 + 5 = 16

t₇ = 16 + 6 = 22

t₈ = 22 + 7 = 29

t₉ = 29 + 8 = 37

∴ The next four terms of the sequence are 16, 22, 29 and 37.