Find the next two terms in the sequence:
$1, 2, 4, 7, 11, . . . . .$

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Solution

The given sequence is $1, 2, 4, 7, 11, . . .$
Here, $t_{1} = 1, t_{2} = 2, t_{3} = 4, t_{4} = 7, t_{5} = 11$
The difference between two consecutive terms are $1, 2, 3, 4, . . .$
$∴ t_{6} = 11 + 5 = 16$
$t_{7} = 16 + 6 = 22$

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