IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A/3-A)=

A)N/3^N-1

B)N-1/3^N-1

Question

IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A/3-A)= A)N/3 N-1 B)N-1/3 N-1

A.S. Rajavel · Answer

sum of roots is zero. therefore -a1 -a2-a3......=0 1/3(0)=0 0+0=0

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IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A /3-A )= A)N/3 N-1 B)N-1/3 N-1

IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A/3-A)=

A)N/3^N-1

B)N-1/3^N-1

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IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A /3-A )= A)N/3 N-1 B)N-1/3 N-1

IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A/3-A)= A)N/3N-1 B)N-1/3N-1

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IF A1,A2,A3,...,A BE N-TH ROOTS OF THE UNITY THEN THE VALUE OF (A1/3-A1+A2/3-A2+A3/3-A3+...+A/3-A)=

A)N/3^N-1

B)N-1/3^N-1