Can (a-3d), (a-d), (a+d), (a+3d) be taken as four consecutive terms in AP?

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Solution

Yes . Because it's common difference is same . and it is equal to 2d.
(a-d)-(a-3d)=2d
(a+d)-(a-d)=2d
(a+3d)-(a+d)=2d
Hence (a-3d),(a-d),(a+d),(a+3d) are taken as the consecutive terms in an AP.

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