Find the 250th term of the sequence:

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- February 27th 2007, 10:37 AMMr_GreenSequences, find the term
Find the 250th term of the sequence:

- February 27th 2007, 11:37 AMThePerfectHacker
Start listing terms (by Pigeonhole principle it must repeat),

a_1=5

a_2=7

a_3=6

a_4=14

a_5=10

a_6=12

a_7=11

a_8=4

a_9=0

a_10=2

a_11=1

a_12=9

a_13=5

Aha! It repeats.

Thus, find the remaind what 250 leaves upon divison by 12 (because it repeats after 12).

Which is 10.

Thus, it is the 10-th term in this sequence.