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Co-efficient of t in the expansion of, ( + p)m - 1 + ( + p)m - 2 ( + q) + ( + p)m - 3 ( + q)2 + ...... ( + q)m - 1
where - q and p q is :

6 years ago


Answers : (1)



given series is geometric progression

find the sum of the series which is equal to

    =(α +p)m-1 [{(α +q)/(α+p)}m  -1 ] /[{(α +q)/(α+p)}  -1]

simplyfy it

=[(α +q)m -(α+p)m]/(q-p)


now find the coeffiecient of αt in this expression

 =[mCt qm-t  - mCt pm-t]/(q-p)

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