Friday, February 12, 2010

Next

What's the next term in the sequence: 77, 49, 36, 18, ... ?

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7 Comments:

Blogger Ross said...

The next term is 8. It is either the last term, or else all successive terms are also 8.

The rule is that each term is the product of the digits of the previous term.

February 12, 2010 2:52 PM  
Blogger Chris said...

Well spotted Ross. You got it and you were the first post.

February 12, 2010 5:27 PM  
Anonymous Thrym said...

Wouldn't the successive terms be 0 since eight would be written as 08 and it's illogical to have a product from just one digit?

February 12, 2010 7:57 PM  
Blogger Chris said...

What about in the other direction?

February 13, 2010 4:09 AM  
Anonymous Karl Sharman said...

Chris - if you mean what product gives 77, I cant find one.

February 13, 2010 7:24 AM  
Blogger Chris said...

Nor can I (with 2 digits)

February 13, 2010 9:14 AM  
Anonymous Karl Sharman said...

Chris

77 is the only 2 digit number that can give a string of 4 following products:- 77-49-36-18-8

I tried up to 5 digits, but could not get a product of 77

February 14, 2010 3:54 AM  

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