Cho dãy số: 3, 18, 48, 93, 153, ... Tìm số hạng thứ 100 của dãy.

Phương pháp giải

Tìm quy luật của dãy số từ đó tìm được số hạng thứ 100/

Lời giải của GV ufaindo.xyz

Nhận xét : Số hạng thứ hai : 18 = 3 + 15 x 1 Số hạng thứ ba : 48 = 3 + 15 x 1 + 15 x 2 Số hạng thứ tư: 93 = 3 + 15 x 1 + 15 x 2+ 15 x 3 Số hạng thứ năm : 153 = 3 + 15 x 1 + 15 x 2 + 15 x 3 + 15 x 4 Vậy số hạng thứ 100 là 3 + 15 x 1 + 15 x 2 + … + 15 x 99 = 3 + 15 x (1 + 2 + 3 + … + 99) = 3 + 15 x (1 + 99) x 99 : 2 = 74253

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