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Let 6 Arithmetic means A 1 , A 2 , A ...

Let 6 Arithmetic means `A_ 1 , A_ 2 , A_ 3 , A_ 4 , A_ 5 , A_ 6` are inserted between two consecutive natural number `a and b ( a > b )` .If `(A_1)^ 2 − (A_2)^ 2 + (A_3)^ 2 − (A_4)^ 2 + (A_5)^ 2 − (A_6)^ 2` is equal to prime number then b ' ' is equal to `(A) 1 (B) 2 (C) 3 (D) 4`

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