Chittagong Higher Secondary 2017#6

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samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm
Chittagong Higher Secondary 2017#6

Unread post by samiul_samin » Sat Feb 24, 2018 1:55 am

If $a_n=6^n+8^n$ what is the remainder of $49$ dividing $a_{83}$?

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: Chittagong Higher Secondary 2017#6

Unread post by samiul_samin » Sat Feb 24, 2018 1:58 am

Hint
Use Bionomial expansion
Answer
$35$
Problem Source
AIME $1983/6$
Solution Source

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