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John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down.  What is the 1000th integer in his list?

 May 5, 2022
 #1
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+1

1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
11 11
12 12
13 13
14 12
15 11

.

.

.

985  1

986 2
987 3
988 4
989 5
990 6
991 7
992 8
993 9
994 10
995 11
996 12
997 13
998 12
999 11
1000 10  [The 1000th integer is 10 - in counting down frm 13 to 1]

 May 6, 2022
 #2
avatar+117841 
+1

 

John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down.  What is the 1000th integer in his list?

 

12up then 12 down makes 24

1000/24=41.666

24*41=984

1000-984=16

12+4

13-4=9

 

So I get 9,  could be wrong though.  It is up to you what logic you accept.

 May 6, 2022

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