The next term will be 1 not 0. The conjecture is therefore false if the next term will be 1
Given the sequence of numbers 20, 18, 15, 11, 6...
We can see that the common difference between the preceding and succeeding terms are 2, 3, 4, 5...
We can see that the differences forms an arithmetic sequence. The nth term of the sequence will be:
Tn = a+ (n - 1)d
T5 = 2 + (5-1)(1)
T5 = 2 + 4
T5 = 6
To get the next term of the sequence ;
Next term = 6 - T5
Next term = 6 - 6
Next term = 0
This shows that the next term will be 1 not 0. The conjecture is therefore false if the next term will be 1
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