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1.The mean weight of 9 students is 25 Kg. if one more student is joined in the group, the mean is unaltered. Find the weight of 10th student 2.If the nth term of an A.P is pn+q find its common difference.

If a student has joined a group that has mean weight 25 kg  and the group mean weight with added student weight is still 25 kg , then weight of the student who has joined the group is also 25 kg.

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If nth term of A.P. is ( p n + q ) , then

p n + q = a + ( n-1 ) d  ........................... (1)

where a is the first term and d is common difference .

Equation (1) can be written as

p n + q = (a -d)+ ( n d )

Hence we get   ( n d ) = q

Hence common difference d = q/n

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