sn=(2-3x5^-1)+(4-3x5^-2)+…+(2n-3x5^-n)要详解答案,急用!
问题描述:
sn=(2-3x5^-1)+(4-3x5^-2)+…+(2n-3x5^-n)要详解答案,急用!
答
sn=(2-3x5^-1)+(4-3x5^-2)+…+(2n-3x5^-n)
=(2+4+.+2n)-(3x5^-1+3x5^-2+.+3x5^-n)
=(2^1+2^2+.+2^n)-(3x5^-1+3x5^-2+.+3x5^-n)
=2x(1-2^n)/(1-2)+3x5^-1x(1-0.2^n)/(1-0.2)
满了