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$2 \times 2 + 1 = 5$

$5 \times 2 - 1 = 9$
 

$9 \times 2 + 1 = 19$

$19 \times 2 - 1 = 37$
 

$37 \times 2 +1 = 75$

 

Hence,Next Number will be $75$.
• edited by
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The pattern of the given series is as follows:

  • $2*2+1=5$
  • $5*2-1=9$
  • $9*2+1=19$
  • $19*2-1=37$
  • $37*2+1=75$

So the next term of the given series is $75.$

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