For the given sequence, find the next two terms. 1, 2, 4, 7, 11, ___, ____

Answer:

Here t1 = 1; t2 =2; t3 = 4 ; t4 = 7 and t5 = 11

∴ t2 – t1 = 2 – 1 = 1

∴ t3 – t 2  = 4 – 2 = 2

∴ t4 – t3 = 7 – 4 = 3

∴ t5 – t4 = 11 – 7 = 4

∴ Here the difference between any two consecutive term is go on increasing by 1.

∴ t6 = t5 + 5 = 11 + 5 = 16

∴ t7 = t6 + 6 = 16 + 6 = 22

∴ the next two terms are 16 and 22.