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If n is even and (_^n)C_0^ LD(_^n)C_1^ LD(_^n)C_2^ LD⋯LD(_^n)C_r^ GT(_^n)C_(r+1)^ GT(_^n)C_ Math Master - Impetus Gurukul

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If n is an integer greater than 1, then a-^n C_1 (a-1)+^n C_2 (a-2)+....+(-1)^n (a-n)= Math Master - Impetus Gurukul

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If a,a_1,a_2,a_3,….,a_(2n-1),b are in AP, a,b_1,b_2,b_3,…..,b_(2n-1),b are in GP and a,c_1,c_2,c_3,… Math Master - Impetus Gurukul

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Let be the roots of the equation and be the roots of the equation. Then, the value of r is Math Master - Impetus Gurukul

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