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Logic Puzzles and Number Series

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What is the next missing number 2,3,6,15,45, ___?

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A
157.5
💡 Explanation:

The sequence uses multipliers that increase by 0.5 at each step: $2 \times 1.5 = 3$; $3 \times 2 = 6$; $6 \times 2.5 = 15$; $15 \times 3 = 45$. The next multiplier is 3.5. $45 \times 3.5 = 157.5$. Other options do not follow this arithmetic progression of multipliers.

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