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Continuing on from my last effort, let's try something new.

"7, 14, 29, 62, 132," have I, but now what should I do?

Which number comes next?

enter image description here

Hint - mouseover if you want to see the next number in the sequence:

282 comes next - but then what comes after 282?

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I think the answer is

278

because

the pattern is
$7$
$7 \times 2+0=14$
$14\times 2+1=29$
$29\times 2+4=62$
$62\times 2+8=132$
Following the pattern from here, I think the next number will be $132\times 2+14=278$

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  • $\begingroup$ That's kind of cool - and a cool resource link - but it's not the pattern I followed. Apologies that the two overlap, but they do veer at the next term. I note in the meta here that each question should have a unique solution. I'm thinking that will be very hard to guarantee! So - yes - I agree your solution works, but I still had another in mind... Well done on finding that pattern! $\endgroup$ – youcantryreachingme Nov 18 '18 at 22:29
  • $\begingroup$ That's a challenge in making of number sequence ;) maybe to clarify, you can add one or two numbers $\endgroup$ – malioboro Nov 18 '18 at 22:59
  • $\begingroup$ Yes, I was thinking to add another number - but my hope is to limit the first set to 5 numbers, wait and see whether anyone can pick the correct pattern, and if not, then add the sixth. Maybe give it a day? $\endgroup$ – youcantryreachingme Nov 18 '18 at 23:07
  • $\begingroup$ the next number has been added as a hint. Naturally, we now need to figure out what follows that. $\endgroup$ – youcantryreachingme Nov 20 '18 at 2:58
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$7$
$7×2+0=14$
$14×2+1=29$
$29×2+4=62$
$62×2+8=132$
$132×2+16=280$
Therefore the answer is 280.

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  • $\begingroup$ please cover your anser with >! How to Answer so noone gets spoiled :) $\endgroup$ – user52327 Nov 20 '18 at 12:15
  • $\begingroup$ Hi Rahul - I added a new hint yesterday that gives the next number in the sequence. You might want to check it as it doesn't match yours. $\endgroup$ – youcantryreachingme Nov 20 '18 at 21:26

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