What's the next number?

[Rudi]

What's the next number?

===================================================
RED = Correctly Answered ----- BLACK = Still to be answered
===================================================

1. 16 14 17 13 18 12 19 ?
2. 8 11 15 19 24 29 35 ?
3. 1 4 9 16 25 36 ?
4. 1 3 6 8 12 14 19 ?
5. 24 12 8 40 20 16 80 ?
6. 22 27 28 14 19 20 10 ?
7. 2 4 8 16 20 40 44 ?
8. 3 5 15 10 12 36 31 ?
9. 16 8 24 20 10 30 26 ?
10. 3 6 18 21 7 10 30 ?
11. 1 3 2 6 5 15 14 ?
12. 23 21 18 22 17 11 18 ?
13. 2 3 5 7 11 13 17 19 ?
14. 1 4 8 13 26 33 66 ?
15. 21 8 24 12 36 25 75 ?

SOLUTIONS for all the above:

Spoiler

#1. 16 14 17 13 18 12 19 ? --- Answer > 11 --- Pattern > Subtract 2, add 3, subtract 4, etc.
#2. 8 11 15 19 24 29 35 ? --- Answer > 41 --- Pattern > Add 3, add 4, add 4, add 5, add 5, etc.
#3. 1 4 9 16 25 36 ? --- Answer > 49 --- Pattern > Perfect squares
#4. 1 3 6 8 12 14 19 ? --- Answer > 21 --- Pattern > Add 2, then add 3, add 2, then add 4, etc.
#5. 24 12 8 40 20 16 80 ? --- Answer > 40 --- Pattern > Divide by 2, subtract 4, multiply by 5, etc.
#6. 22 27 28 14 19 20 10 ? --- Answer > 15 --- Pattern > Add 5, then 1, then divide by 2, etc.
#7. 2 4 8 16 20 40 44 ? --- Answer > 88 --- Pattern > Multiply by 2, add 4, etc
#8. 3 5 15 10 12 36 31 ? --- Answer > 33 --- Pattern > Add 2, multiply by 3, subtract 5, etc.
#9. 16 8 24 20 10 30 26 ? --- Answer > 13 --- Pattern > Divide by 2, multiply by 3, subtract 4, etc.
#10. 3 6 18 21 7 10 30 ? --- Answer > 33 --- Pattern > Add 3, multiply 3, add 3, divide by 3, add 3, etc.
#11. 1 3 2 6 5 15 14 ? --- Answer > 42 --- Pattern > Multiply by 3, subtract 1, etc.
#12. 23 21 18 22 17 11 18 ? --- Answer > 10 --- Pattern > Subtract 2, subtract 3, add 4, etc.
#13. 2 3 5 7 11 13 17 19 ? --- Answer > 23 --- Pattern > Prime numbers
#14. 1 4 8 13 26 33 66 ? --- Answer > 75 --- Pattern > Add odd number, multiply by 2, etc.
#15. 21 8 24 12 36 25 75 ? --- Answer > 65 --- Pattern > Subtract 13, multiply by 3, subtract 12, multiply by 3, etc.

[Leif]

1

Spoiler

11

And that's me lot for today - too much to do!

[HansV]

2.

Spoiler

41

3.

Spoiler

49

4.

Spoiler

21

11.

Spoiler

42

13.

Spoiler

23

14.

Spoiler

75

[Rudi]

Your lot is very correct.
Back to work now...

[Rudi]

All correct Hans, except #3.

[HansV]

I have corrected the spoiler tags and the reply to #3.

[StuartR]

The answer to every one of these is, as any fule kno, 42.

http://mathforum.org/library/drmath/view/56864.html" onclick="window.open(this.href);return false;

[Rudi]

Yep...
It must have been the spoiler spoiling it.

[HansV]

5.

Spoiler

40

6.

Spoiler

15

7.

Spoiler

88

8.

Spoiler

33

9.

Spoiler

13

10.

Spoiler

33

12.

Spoiler

10

15.

Spoiler

65

[Rudi]

The answer to every one of these is, as any fule kno, 42.

http://mathforum.org/library/drmath/view/56864.html" onclick="window.open(this.href);return false;

Whats the fun of just putting in any number!
As quoted on that page:

Of course, the intended answer is generally much "simpler" or more "satisfying,"

Conversely, if you want to put in any number and insist that it is correct, I will require you to prove it

[StuartR]

let's have the full quote that you excerpted...

Of course, the intended answer is generally much "simpler" or more "satisfying," but these are subjective and not well-defined mathematical principles

Putting 42 as the answer for every question seems to me to be both simple and satisfying, although it does somewhat detract from the "puzzle" aspect

[Rudi]

Putting 42 as the answer for every question seems to me to be both simple and satisfying, although it does somewhat detract from the "puzzle" aspect

TX Stuart. You're being a sport!

For that you deserve a
Or if you prefer, a or a

[StuartR]

I like all three, but I'll settle for the

Thank you.

[Becks]

For #2

Spoiler

40 the progression is increase by 1 x 3 then 2 x 4 then 3 x 5 To infer 1 x 3 then 2 x 4 then 2 x 5 then by 6 would appear unsupported

Regards
Kevin

[Rudi]

For #2

Spoiler

40 the progression is increase by 1 x 3 then 2 x 4 then 3 x 5 To infer 1 x 3 then 2 x 4 then 2 x 5 then by 6 would appear unsupported

Regards
Kevin

Hi Becks,

The value for #2 is:

Spoiler

41
The progression is as follows: Add 3, add 4, add 4, add 5, add 5, etc.

See ALL the SOLUTIONS in the original post above.

[BobH]

The answer to every one of these is, as any fule kno, 42.

http://mathforum.org/library/drmath/view/56864.html" onclick="window.open(this.href);return false;

As I sit here reading posts and responding, I'm wearing a black T-shirt with a large "42" printed across the front. It is not only THE ANSWER . . . it is also the year I was born.

I get a lot of funny looks but only very rarely do I meet anyone who knows the significance of the number.

[Becks]

I thought everyone knew that it is the result of 6 x 9, which was the question.

Kevin