1,3,5,7,2,9,1,0,1,1,2, ...
What the the next term of the sequence ? What is the nth term of the sequence ?
FIND THE TWO NEXT TERM OF THE SEQUENCE
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Re: FIND THE TWO NEXT TERM OF THE SEQUENCE
Next term is 3
- Niloy Da Fermat
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- Joined:Wed Mar 21, 2012 11:48 am
Re: FIND THE TWO NEXT TERM OF THE SEQUENCE
Let's define the $ n $-th term of the sequence as
$ a_1+3a_2+5a_3+7a_4+2a_5+9a_6+a_7+a_9+a_{10}+2a_{11} $
where $ n\equiv i(mod 11)\Longrightarrow a_i=1 $
and $ n\not\equiv i(mod 11)\Longrightarrow a_i=0 $
Then the next two terms are $ 1 $&$ 3 $ consecutively.
$ a_1+3a_2+5a_3+7a_4+2a_5+9a_6+a_7+a_9+a_{10}+2a_{11} $
where $ n\equiv i(mod 11)\Longrightarrow a_i=1 $
and $ n\not\equiv i(mod 11)\Longrightarrow a_i=0 $
Then the next two terms are $ 1 $&$ 3 $ consecutively.
kame......hame.......haa!!!!