This is my first try at this so I hope I do good.
The following is a ciphered quote and the name of the speaker.
MQJLGTBEVNWBGSXSBYAAJGLVKZAKDXWMSHWJENHMXIYBGIQGSBSBNLLMIJLUJVPHFNVLYTSSRPG
The key/for this, my/mystery,/lies only/in an important key word.
What is the missing number in the sequence?
0, 1, 6, 105, 27 030,_______________, 7 608 434 000 728 254 870
The sequence
here may seem
unusual, but
examination
may reveal
obvious steps
required to
solve for each
element in it.
I was thinking along the same lines as jim. Using your definitions you cannot create an infinite monotone subsequence from a sequence of one repeated number.
Looking back at your answer posts
I always enjoy seeing the way people work out problems. That's one of the great things about being a teacher, seeing how people understand.
I remember seeing a couple posts similar to this one some time back and thought I'd try my hand at one.
Here is the situation:
While scanning space for signs of life a group of scientists receive a series of messages the last of which requires a response. The messages are translated as follows:
12 % 10 = 8
4 % 6 = 4
9 % 7 = 6
11 % 13 = 6
5 % 15 = 2
14 % 16 = ___
What number do we need to respond with?
I know right? It seems quite odd and slightly unbelievable, but, as I'm sure you know, since the water makes up such a large portion of the total mass 1% less is a significant change.