Cho csc un có u1=1 và tổng 100 số hạng đầu bằng 24850. Tính S = 1/u1u2 + 1/u2u3 +....+ 1/u49u50 Cho csc un có u1=1 và tổng 100 số hạng đầu bằng 24850. Tính S = 1/u1u2 + 1/u2u3 +....+ 1/u49u50
Tham khảo câu trả lời từ Trợ lý ảo Lazi Để tính S = 1/u1u2 + 1/u2u3 +....+ 1/u49u50, ta cần tìm giá trị của u2, u3, ..., u50. Ta biết rằng u1 = 1 và tổng 100 số hạng đầu bằng 24850. Vậy ta có: u1 + u2 + u3 + ... + u50 = 24850 Đặt S' = u1 + u2 + u3 + ... + u50, ta có: S' = 24850 Từ đó, ta có: S' = u1 + u2 + u3 + ... + u50 = u1 + u2 + u3 + ... + u49 + u50 Vì vậy: S' = u1 + u2 + u3 + ... + u49 + u50 = u1 + u2 + u3 + ... + u49 + u49 + 1 = S' - u50 + u49 + 1 = 24850 - u50 + u49 + 1 = 24851 - u50 + u49 Vậy ta có: S' = 24851 - u50 + u49 Từ đó, ta có: S = 1/u1u2 + 1/u2u3 +....+ 1/u49u50 = 1/(u1u2) + 1/(u2u3) +....+ 1/(u49u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + 0 = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u49) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50 + u50 - u49) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u50 - u49) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50) + (u49 - u50) = (1/u1u2) + (1/u2u3) +....+ (1/u49u50) + (u49 - u50