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Which number pair comes next in the series?

$4\:7\:26\:10\:13\:20\:16$

  1. $14\:4$
  2. $14\:17$
  3. $18\:14$
  4. $19\:14$
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$\textrm{Two patterns alternate here, with every third number following the alternate pattern.}$

$\textrm{In the $1^{st}$ series 4, 7, 10,13, 16 ..... Starting with 4, +3 is added to each number to arrive at the next.}$

  • $4+3=7$
  • $7+3=10$
  • $10+3=13$
  • $13+3=16$
  • $16+3=19$

$\textrm{In $2^{nd}series$ 26, 20...Starting with 26, -6 is subtracted from each number to arrive at the next.}$

  • $26-6=20$
  • $20-6=14$

$\textrm{ Therefore Next two number is 19(from 1st series), 14(from 2nd series). 19,14}$

$\textrm{Option D}$

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