If n!, 3n! and (n-1)! are in G.P then n!...

If `n!, 3n!` and `(n-1)!` are in G.P then `n!, 5n!` and `(n+1)!` are in

A.P

G.P.

H.P

none of these

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STATEMENT-1 : If the arithmetic mean of (b-c)^(2) , (c -a)^(2) and (c-a)^(2) is same as the arithmetic mean of (b + c - 2a)^(2) , (c + a - 2b)^(2) and (a + b - 2c)^(2) then a, b, c are equal STATEMENT-2 : If logx, logz (x, y, z gt ) are in GP then 2x + log(bx) , 3x + log (by), 4x + log(bz) are in AP STATEMENT-3 : If n! , 3 xx n! and (n+1) ! are in G.P. then n!, 5 xx n! and (n+1) ! are in A.P.

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If n in N and Delta_ (n) = det [[n!, (N + 1)!, (N + 2)! (N + 1)!, (N + 2)!, (N + 3)! ( n + 2)!, (n + 3)!, (n + 4)!]] then lim_ (n rarr oo) ((3 ^ (n ^ (3)) - 5) Delta_ (n)) / (Delta_ (n + 1)) equals

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