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find 38th term 1,7,8,49,50,56,343,344,350,351,392 ,393,399,400,………

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TCS Other Question

if f(X)=1+x+x^2+...........x^6 the remainder when f(x^7) is divided by f(x) is an urn contains m white balls ad n black balls,a ball is drawn at random and is put back into the urn along with k additional balls of the same colour as that of the ball drawn.a ball is again drawn at random,the probability of drawing a white ball is?
a)increases with k
b)does not depend on k
c)decreases with k
d)cannot be determined without additional information