Question

已知a_n=6ⁿ+8ⁿ,则a₈₄被49除余数为__________.

Answer 1

解析:a₈₄=(7-1)⁸⁴+(7+1)⁸⁴=2(·7⁸⁴+·7⁸²+…+·7²+)=49m+2(m∈N^*).

答案:2