An = ( 1.2.3 + 2.3.4 + 3.4.5 + .............................. upto n terms )
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n( 1.2 + 2.3 + 3.4 + ................................... upto n terms )
[ n ]
[
] An = x / y ; where x and y are integers and x / y is in its lowest form.
If (y - x)p3 + y1/2 r(pqx - (x + 1)r2) = (x - y)q3 then which of the following is/are true ? (p, q, r are distinct).
a) p, q, r in A.P.
b) p, q, r in H.P.
c) p + qw - 2rw2 = 0
d) p + qw2 + 2rw = 0
e) none of these ; w is the complex cube-root of unity.