数列7/3,37/9,163/27,649/81···的前n项和?
问题描述:
数列7/3,37/9,163/27,649/81···的前n项和?
答
根据给出,可求得通项为[3^n*(2n)+1]/3^n即2n+1/3^n
Sn=(a1+an)n/2Sn=a1(1-q^n)/(1-q)
可知本题的前n项和Sn=【(2+2n)*n】/2 +(1-1/3^n)/(1-1/3)