Answer:

Here t_{1} = 1; t_{2}
=2; t_{3} = 4 ; t_{4} = 7 and t_{5} = 11


∴ t_{2} – t_{1} = 2 – 1 = 1


∴ t_{3} – t_{ 2 } = 4 – 2 = 2


∴ t_{4} – t_{3} = 7 – 4 = 3


∴ t_{5} – t_{4} = 11 – 7 = 4


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


∴ t_{6} = t_{5} + 5 = 11 + 5 = 16


∴ t_{7} = t_{6} + 6 = 16 + 6 = 22


∴ the next two terms are 16 and 22.

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