Hurry tell this ques by writing all statements solve all - Maths - Mathematical Induction and Binomial Theorem

Question

Hurry tell this ques by writing all statements solve all

Neha Sethi · Accepted Answer

Dear student
1+xn=C0+C1x+C2x2+ +Cnxn    
(1)x+1n=C0xn+C1xn-1+C2xn-2+ +Cn      
(2)Multiplying (1) and (2), we getC0+C1x+C2x2+
+CnxnC0xn+C1xn-1+C2xn-2+
+Cn=1+x2nComparing the coefficient of xnC02+C12+C22+
+Cn2=2nCnFrom the product of (1) and (2) comparing coefficients of xn-2  both sides,C0C2+C1C3+
+Cn-2Cn=2nCn-2
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