Question

If the sum of four consecutive terms of an ap is 36 then arithmetic mean of these terms in ap is

Answer 1

let the ap of 4 terms be :

• a -3d , a-d , a+d , a+3d
• where a1 = a-3d
• where d = 2d

The it is given that sum of the terms ;

• a -3d + a-d + a+d + a+3d = 36
• 4a = 36
• a = 9

then arithmatic mean = sum of observations/number of observations

• = (a-3d+a-d+a+d+a+3d)/4
• = 4a/4
• = a = 9

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