If all the terms of an A.P. are squared,then | vedclass

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(D) Let the $A.P.$ be $a, a+d, a+2d, \dots$Squaring the terms,we get $a^2, (a+d)^2, (a+2d)^2, \dots$Calculating the differences between consecutive te

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None of these

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(D) Let the $A.P.$ be $a, a+d, a+2d, \dots$Squaring the terms,we get $a^2, (a+d)^2, (a+2d)^2, \dots$Calculating the differences between consecutive terms:$d_1 = (a+d)^2 - a^2 = 2ad + d^2$$d_2 = (a+2d)^2 - (a+d)^2 = (a^2 + 4ad + 4d^2) - (a^2 + 2ad + d^2) = 2ad + 3d^2$Since $d_1 
eq d_2$ (unless $d=0$),the new series is not an $A.P.$Similarly,checking for $G.P.$ or $H.P.$ shows that the new series does not necessarily follow these progressions.Therefore,the correct option is $D$.

If all the terms of an $A.P.$ are squared,then the new series will be in

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