Discussion
The missing term in the following sequence
0, 1, 1, -, 3, 5, 8, -, 21, 34, 55, -, 144
are :
Answer: A
The missing terms are 2, 13, 89.
This is the Fibonacci sequence: each term is the sum of the two before it.
\[ \begin{aligned} 1 + 1 &= 2 \\ 5 + 8 &= 13 \\ 34 + 55 &= 89 \end{aligned} \]
The check carries through: 2 + 3 = 5, 13 + 8 = 21, and 55 + 89 = 144, the last term given.
The other sets fail at the first blank or later: 11 and 76 do not follow from 5, 8 and 34, 55, and putting 1, 8 or 3, 8 in the gaps repeats terms that break the rule (1 + 1 is not 1, and 5 + 8 is not 8).
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