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[" A.If a,b.care in AP.then show that "],[([" () "()," (b) "a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in "AP" ."],[" (i) "b+c-a,c+a-b,a+b-c" are in "AP" ."]],[" A-B.A The fourth power of the common difference of an arithmetic progression with integer entries is added to "],[" Ae product of any four consecutive terms of it.Prove that the resulting sum is the square of an integer."]

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The fourth power of common difference of an arithmetic progression with integer entries is added to the product of any four consecutive terms of it.Prove that the resulting sum is the square of an integer.

The fourth power of common difference of an arithmetic progression with integer entries is added to the product of any four consecutive terms of it. Prove that the resulting sum is the square of an integer.

The fourth power of common difference of an arithmetic progression with integer entries is added to the product of any four consecutive terms of it. Prove that the resulting sum is the square of an integer.

The fourth power of the common difference of an arithmetic progression with integer entries is added to the product of any four consecutive of it. Prove that the resulting sum is the squares of an integer.

The fourth power of the common difference of an arithmetic progression with integer entries is added to the product of any four consecutive of it. Prove that the resulting sum is the squares of an integer.

The fourth power of the common difference of an arithmetic progression with integer entries is added to the product of any four consecutive of it. Prove that the resulting sum is the squares of an integer.

If the fourth Power of the common difference of an A.P. with integer entries is added to the product of any four consecutive terms of it, prove that the resulting Sum is the square of an integer.

If the fourth power of the common difference of an A.P with integer entries is added to the product of any four consecutive of it, then the resulting sum is

If a b,c are in A.P.then show that (i) a^(2)(b+c),b^(2)(c+a),c^(2)(a+b) are also in A.P.

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)