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Continue the pattern: 5, 9, 15, 23, 33, ?

Competition practiceNumber Series

A45
B43
C44
D47

Step-by-Step Solution

Differences are 4, 6, 8, 10, so the next difference is 12: 33 + 12 = 45. (Terms are

n^{2} + n + 3.

)

Answer: A) 45

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