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How many different arithmetic sequences are there with all of the following properties:

The first term is 121.
The last term is 1.
The common difference is a whole number.
The total number of terms is at least 3.

 

I think it's 16 but I'm not sure

 Nov 21, 2021
 #1
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+1

Here is a place to start:
121 -1 = 120

 

All factors of 120 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120    ( The red ones will not result in 3 terms)

 Nov 21, 2021
 #2
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*** edit ***

 

All factors of 120 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120       (red one will not result in 3 terms)

Guest Nov 21, 2021
 #4
avatar+2401 
+1

Nice, but I think there is something wrong with the colours. 

60 will result in 3 terms. 

120 will result in 2 terms.

 

=^._.^=

catmg  Nov 22, 2021

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