Để giải bài toán này, ta sẽ sử dụng công thức tổng của dãy số hình học.

Công thức tổng của dãy số hình học có công thức như sau:
S = a * (1 - r^n) / (1 - r)

Trong đó:
- S là tổng của dãy số hình học
- a là số hạng đầu tiên của dãy
- r là công bội của dãy
- n là số lượng số hạng trong dãy

Trong bài toán này, ta có:
- a = 1.3 (số hạng đầu tiên)
- r = 3.5 / 1.3 (công bội)
- n = 35 (số lượng số hạng)

Thay các giá trị vào công thức, ta có:
S = 1.3 * (1 - (3.5 / 1.3)^35) / (1 - 3.5 / 1.3)

Tính toán giá trị trên máy tính, ta được:
S ≈ 1.3 * (1 - 3.5 / 1.3)^35 / (1 - 3.5 / 1.3)
≈ 1.3 * (1 - 2.6923076923076925)^35 / (1 - 2.6923076923076925)
≈ 1.3 * (1 - 0.3717948717948718)^35 / (1 - 0.3717948717948718)
≈ 1.3 * (0.6282051282051282)^35 / (0.6282051282051282)
≈ 1.3 * 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