3x+6x+9x+....+ to n terms=3/2n(n+1)x using principle of mathematical induction
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Answer. 3x + 6x + 9x + ......n terms they are in AP therefore, the common difference is 3x sum = n/2 [2.3x + (n - 1) 3x] =3*n (2 + n - 1)/2 =3/2 nx (1 + n) Hence proved !
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