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Which number completes 6, 11, 18, 27, 38, ?

Competition practiceNumber Series

A51
B49
C50
D53

Step-by-Step Solution

Each term is

n^{2} + 2

for

n = 2

, 3, 4, 5, 6; next is

7^{2} + 2 = 51

. (Differences 5, 7, 9, 11, 13 also give 38 + 13 = 51.)

Answer: A) 51

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