Show that `"^(7)C_1`,`"^(7)C_2 `and` "^(7)C_3` are in A.P.

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Find n, if ""^(2n)C_(1),""^(2n)C_(2) and ""^(2n)C_(3) are in A.P.

If a, b, c are in A.P., prove that : (bc)^-1,(ca)^-1 and (ab)^-1 are also in A.P.

Prove that "^(n-1)C_3+ ^(n-1)C_4 > ^nC_3 if n >7.

Prove that .^(n-1)C_(3)+.^(n-1)C_(4) gt .^(n)C_(3) if n gt 7 .

A triangle ABC is such that sin(2A+B) =1/2 and If A, B and C are in A.P., then find the value of A and C

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If a,b,c are in A.P. then :

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If b^2+c^2, c^2+a^2, a^2+b^2 are in A.P. prove that : 1/(b + c), 1/(c + a), 1/(a + b) are also in A.P.