Discussion

The missing number in the pattern 325, 259, 204, 160, 127, 105 __________ is :

Answer: C

The missing number is 94.

Look at the differences between consecutive terms:

\[ \begin{aligned} 325 - 259 &= 66, \quad 259 - 204 = 55 \\ 204 - 160 &= 44, \quad 160 - 127 = 33 \\ 127 - 105 &= 22 \end{aligned} \]

The differences fall by 11 each time, so the next difference is 11 and the next term is \(105 - 11 = 94\).

96, 98 and 90 would need differences of 9, 7 and 15, which break the pattern.

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