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A method facilitates fabricating an airfoil for use with a turbine blade. The method comprises forming a substantially solid ceramic airfoil core, inserting the core into a die and casting the airfoil with a pressure side wall and a suction side wall connected together at a leading edge and a traili

A method facilitates fabricating an airfoil for use with a turbine blade. The method comprises forming a substantially solid ceramic airfoil core, inserting the core into a die and casting the airfoil with a pressure side wall and a suction side wall connected together at a leading edge and a trailing edge, such that a plurality of first trailing edge slots and at least one second trailing edge slot extend from the trailing edge along the pressure side wall, wherein the second trailing edge slot has a length, measured between an inlet and an exit of the slot, that is longer than a corresponding length of each of the plurality of first trailing edge slots.

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What is claimed is: 1. A method for fabricating an airfoil for use with a turbine blade, said method comprising: forming a substantially solid ceramic airfoil core; inserting the core into a die; casting the airfoil with a pressure side wall and a suction side wall connected together at a leading e

What is claimed is: 1. A method for fabricating an airfoil for use with a turbine blade, said method comprising: forming a substantially solid ceramic airfoil core; inserting the core into a die; casting the airfoil with a pressure side wall and a suction side wall connected together at a leading edge and a trailing edge, such that a plurality of first trailing edge slots, a plurality of second trailing edge slots, and a plurality of third trailing edge slots extend from the trailing edge along the pressure side wall, wherein each of the second trailing edge slots has a length, measured between an inlet and an exit of the slot, that is longer than a corresponding length of each of the plurality of first and third trailing edge slots, and wherein the plurality of second and third trailing edge slots are arranged in an alternating pattern. 2. A method in accordance with claim 1 wherein casting the airfoil further comprises casting the airfoil such that the second trailing edge slot is formed within an upper section of the trailing edge, wherein the trailing edge includes an upper section and a lower section, the upper section being between a tip of the airfoil and the lower section of the trailing edge. 3. A method in accordance with claim 2 wherein casting the airfoil such that the second trailing edge slot is formed within an upper section of the trailing edge further comprises casting the airfoil upper section of the trailing edge to also include at least one third slot that has a length that is shorter than a length of the second trailing edge slot and a length of each of the plurality of first trailing edge slots. 4. A method in accordance with claim 3 wherein casting the airfoil such that the second trailing edge slot is formed within an upper section of the trailing edge further comprises casting the airfoil upper section of the trailing edge to include a plurality of second trailing edge slots and a plurality of third trailing edge slots, wherein each of the third slots has a length that is shorter than a length of the second trailing edge slots and a length of each of the plurality of first trailing edge slots. 5. A method in accordance with claim 4 wherein casting the airfoil upper section of the trailing edge to include a plurality of second trailing edge slots and a plurality of third trailing edge slots further comprises casting the airfoil upper section such that the second and third trailing edge slots are arranged in an alternating pattern that facilitates increasing a stiffness of the airfoil trailing edge. 6. An airfoil for a rotor blade, said airfoil comprising: a pressure side wall; a suction side wall connected to said pressure side wall at a leading edge and a trailing edge; and a plurality of first trailing edge slots extending from said trailing edge along said pressure side wall, a plurality of second trailing edge slots, and a plurality of third trailing edge slots, said plurality of first trailing edge slots and said plurality of second trailing edge slots each comprise an inlet, an exit, and a length measured therebetween, said plurality of second trailing edge slots each have a length that is longer than a length each of said plurality of first and third trailing edge slots, wherein said plurality of second and third trailing edge slots are arranged in an alternating pattern. 7. An airfoil in accordance with claim 6 wherein said pressure side wall and said suction side wall extend radially between a root and a tip, said plurality of slots further comprise a plurality of slots defined within a lower section of said trailing edge and a plurality of slots defined within an upper section of said trailing edge, said plurality of slots within said trailing edge lower section are between said plurality of slots within said trailing edge upper section and said blade root. 8. An airfoil in accordance with claim 7 wherein said at least one second trailing edge slot is defined within said trailing edge upper section. 9. An airfoil in accordance with claim 7 further comprising at least one third trailing edge slot having a length that is shorter than said at least one second trailing edge slot length and said length of said plurality of first trailing edge slots. 10. An airfoil in accordance with claim 9 wherein said at least one third trailing edge slot is defined within said trailing edge upper section. 11. An airfoil in accordance with claim 9 wherein said trailing edge upper section comprises a plurality of second trailing edge slots and a plurality of third trailing edge slots arranged in an alternating pattern extending between said blade tip and said trailing edge lower section. 12. An airfoil in accordance with claim 9 wherein said at least one second trailing edge slot and said at least one third trailing edge slot facilitate increasing a stiffness of said blade trailing edge. 13. An airfoil in accordance with claim 9 wherein said at least one second trailing edge slot and said at least one third trailing edge slot facilitate increasing a vibratory margin of said blade trailing edge. 14. A turbine blade comprising: a platform; a dovetail extending radially inward from said platform; and an airfoil extending radially outward from said platform and comprising a pressure side wall, and a suction side wall, said pressure side wall connected to said suction side wall at a leading edge and a trailing edge, said airfoil further comprising a plurality of first trailing edge slots, a plurality of second trailing edge slots, and a plurality of third trailing edge slots, said plurality of first trailing edge slots and said plurality of second trailing edge slots each extend from said trailing edge along said pressure side wall and each comprise an inlet, an exit, and a length measured therebetween, said plurality of second trailing edge slots each have a length that is longer than a length of each of said plurality of first and third trailing edge slots, wherein said plurality of second and third trailing edge slots are arranged in an alternating pattern. 15. A turbine blade in accordance with claim 14 wherein said airfoil at least one second trailing edge slot facilitates increasing at least one of a stiffness of said airfoil trailing edge and a vibratory margin of said airfoil. 16. A turbine blade in accordance with claim 14 wherein said airfoil pressure side and suction side walls extend radially between a root and a tip, said airfoil trailing edge comprises an upper section and a lower section, said upper section between said lower section and said airfoil tip, said at least one second trailing edge slot is defined only within said trailing edge upper section. 17. A turbine blade in accordance with claim 14 wherein said airfoil further comprises at least one third trailing edge slot having a length that is shorter than said length of said plurality of first trailing edge slots. 18. A turbine blade in accordance with claim 17 wherein said airfoil at least one third trailing edge slot is defined only within said trailing edge upper section. 19. A turbine blade in accordance with claim 17 wherein said airfoil trailing edge upper section comprises a plurality of second trailing edge slots and a plurality of third trailing edge slots arranged in an alternating pattern extending between said blade tip and said trailing edge lower section. 20. A turbine blade in accordance with claim 17 wherein said airfoil trailing edge upper section facilitates increasing a stiffness of said airfoil.