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Is squence √3,√6,√9,√12,..... an A.O ? Give reasons

Answer» Common difference,{tex}d_1 = \\sqrt { 6 } - \\sqrt { 3 }{/tex}{tex}= \\sqrt { 3 } ( \\sqrt { 2 } - 1 ){/tex}{tex}d_2= \\sqrt { 9 } - \\sqrt { 6 }{/tex}{tex}= \\sqrt { 3\\times3 } - \\sqrt{2\\times 3}{/tex}{tex}= 3 - \\sqrt { 6 }{/tex}{tex}d_3 = \\sqrt { 12 } - \\sqrt { 9 } {/tex}{tex}= \\sqrt { 4\\times3 } - \\sqrt { 9 } {/tex}{tex}= 2 \\sqrt { 3 } - 3{/tex}As common difference does not equal.Hence, The given series is not in A.P.


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