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31×2×4+42×3×5+53×4×6+…\large \dfrac{3}{1\times 2 \times 4} + \dfrac{4}{2 \times 3 \times 5} + \dfrac{5}{3 \times 4 \times 6} + \ldots 1×2×43+2×3×54+3×4×65+…
If the above summation can be expressed as ab\dfrac{a}{b} ba where a,ba,ba,b are co-prime natural numbers, find a+ba+ba+b.
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