高一数学题(关于等比数列)

在等比数列{An}中,若Sn=93,An=48,q=2,求n
2025-05-22 13:26:48
推荐回答(1个)
回答1:

A(n) = a2^(n-1), n = 1,2,...
S(n) = a[2^n - 1], n = 1,2,...

48 = a2^(n-1),
93 = a[2^n-1]=a2^n - a = 2[a2^(n-1)] - a = 2*48 - a = 96 - a, a = 3.
48 = a2^(n-1)=3*2^(n-1),
16 = 2^(n-1),
n = 5.