# An ad-hoc number sequence to solve 2

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?

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

282 comes next - but then what comes after 282?

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 $$132\times 2+14=278$$

• 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! – youcantryreachingme Nov 18 '18 at 22:29
• That's a challenge in making of number sequence ;) maybe to clarify, you can add one or two numbers – malioboro Nov 18 '18 at 22:59
• 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? – youcantryreachingme Nov 18 '18 at 23:07
• the next number has been added as a hint. Naturally, we now need to figure out what follows that. – youcantryreachingme Nov 20 '18 at 2:58

$$7$$
$$7×2+0=14$$
$$14×2+1=29$$
$$29×2+4=62$$
$$62×2+8=132$$
$$132×2+16=280$$