plllz help me for question no. 62!!!

Dear Student,The given series is A.P.whose  nth term is nx+y,Hence, First term,a=1x+yDifference,d=2x+y-1x+y=1xSum of r terms=r2(2a+(r-1)d)=r221x+y+(r-1)1x=r22x+2y+rx-1x=r21x+2y+rx=r2(r+1)x+2y=r(r+1)2x+ryRegards

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Miss Ans is (a)
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hmm got that :) 
 
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just prove that the given is in ap
for this given you that
an =[n/x ]+y
then a n - 1 will be[ n - 1 / x] +y
an-an - 1 =1/x
find the second term by n = 2
1 st term n = 1
d = 1/x
as the difference is constant and same then the given progression is arithmetic
sr = r/2 [2 a+(r - 1)d ]
d = 1/x
a = 1/x+y
then you will get ans (a) just check it
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