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N identical carts are connected to each ...

N identical carts are connected to each other using strings of negligible mass. A pulling force F is applied on the first cart and the system moves without friction along the horizontal ground. The tension in the string connecting `4^(th) "and" 5^(th)` cart is twice the tension in the string connecting `8^(th) "and" 9^(th)` cart. Find the total number of carts (N) and tension in the last string.

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