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Tbb = {{0, a1}, {0.25, a2}, {0.5, a3}, {0.75, a4}, {1, a5}};
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Tbb1 = {{0, a1}, {0.25, a1 + a2}, {0.5, a1 + a2 + a3}, {0.75, a1 + a2 + a3 + a4}, {1, a1 + a2 + a3 + a4 + a5}};

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Tbb = {{0, a1}, {0.25, a2}, {0.5, a3}, {0.75, a4}, {1, a5}};

Tbb1=Table[{Tbb[[j, 1]], Sum[Tbb[[i, 2]], {i, 1, j}]}, {j, 1, Length[Tbb]}]
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