If we need to select $6$ terms in A.P. then we can choose terms such as $a - 5 d, a - 3 d, a - d, a + d, a + 3 d, a + 5 d$ with common difference of $2 d$ .

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6

a - 5 d, a - 3 d, a - d, a + d, a + 3 d, a + 5 d

2 d

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

Sir for when sum of 4 unknown consencutive terms of an ap is given then we take it as a-3d,a-d,a+d,a+3d.why dont we take it as a-2d,a-d,a+d,a+2d.

Does this have to do any thing with odd and even.

Please explain.

Thak you.

\frac{a + 3 d}{a + 9 d} = \frac{a + d}{a + 5 d} = k

k

(a, d > 0)

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