等比数列{an}中,前n项和Sn = 3n + r题目发错了:等比数列{an}中,前n项和Sn = 3^n + 则r为几?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 05:44:28
等比数列{an}中,前n项和Sn = 3n + r题目发错了:等比数列{an}中,前n项和Sn = 3^n + 则r为几?

等比数列{an}中,前n项和Sn = 3n + r题目发错了:等比数列{an}中,前n项和Sn = 3^n + 则r为几?
等比数列{an}中,前n项和Sn = 3n + r
题目发错了:等比数列{an}中,前n项和Sn = 3^n + 则r为几?

等比数列{an}中,前n项和Sn = 3n + r题目发错了:等比数列{an}中,前n项和Sn = 3^n + 则r为几?
∵an=Sn-Sn-1=3^n+r-3^(n-1)-r=2×3^(n-1)
∴a1=2 q=3
∴Sn=2×(1-3^n)/(1-3)=3^n-1
∴r=﹣1

r=-1