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Question

If nr=1Tr=5n+2 and nr=1T2r=an3+bn2+cn+d then the value of d+b+c

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Solution

nr=1Tr=5n+2T1=72r=1Tr=12=>T1+T2=12T2=5SimilarlyT3=5,T4=5,....Tn=5nr=1Tr2=72+52+52+....+52an3+bn2+cn+d=25n+24a=0,b=0,c=25,d=24
d+b+c=0+24+25=49

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