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Find the wrong number in the given series 2, 3, 6, 12 , 45, 157.5, 630Options456157.512630

Question

Find the wrong number in the given series 2, 3, 6, 12 , 45, 157.5, 630Options456157.512630

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Solution

Para encontrar el número incorrecto en la serie dada, primero debemos identificar el patrón que sigue la serie. Observemos los números:

2, 3, 6, 12, 45, 157.5, 630

  1. De 2 a 3: 2×1.5=3 2 \times 1.5 = 3
  2. De 3 a 6: 3×2=6 3 \times 2 = 6
  3. De 6 a 12: 6×2=12 6 \times 2 = 12
  4. De 12 a 45: 12×3.75=45 12 \times 3.75 = 45
  5. De 45 a 157.5: 45×3.5=157.5 45 \times 3.5 = 157.5
  6. De 157.5 a 630: 157.5×4=630 157.5 \times 4 = 630

Observamos que el patrón no es consistente. Vamos a revisar los multiplicadores:

  • 2×1.5=3 2 \times 1.5 = 3
  • 3×2=6 3 \times 2 = 6
  • 6×2=12 6 \times 2 = 12
  • 12×3.75=45 12 \times 3.75 = 45 (aquí parece que el patrón cambia)
  • 45×3.5=157.5 45 \times 3.5 = 157.5
  • 157.5×4=630 157.5 \times 4 = 630

El número 45 parece no seguir un patrón lógico con los multiplicadores anteriores. Si seguimos el patrón de multiplicar por 2, el número después de 12 debería ser:

12×2=24 12 \times 2 = 24

Entonces, el número incorrecto en la serie es 45.

This problem has been solved

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