0.5, 2, 3.5, 5, ...

(vi) 0.5, 2, 3.5, 5, ... (1 mark)

Sol. t1 = 0.5, t2 = 2, t3 = 3.5, t4 = 5

t2 – t1 = 2 – 0.5 = 1.5

t3 – t2 = 3.5 – 2 = 1.5

t4 – t3 = 5 – 3.5 = 1.5

Here, The difference between ANY two consecutive terms is 1.5 which is constant.

∴ The sequence is an A.P.

22, 26, 28, 31, ...

(v) 22, 26, 28, 31, ... (1 mark)

Sol. t1 = 22, t2 = 26, t3 = 28, t4 = 31

t2 – t1 = 26 – 22 = 4

t3 – t2 = 28 – 26 = 2

t4 – t3 = 21 – 28 = 3

Here, The difference between any two consecutive terms is not constant.

∴ The sequence is not an A.P.