Plzz tell aue no 10 ?????????

Dear Student,
Please find below the solution to the asked query:

38.Letabethefirsttermandrbethecommonratio.Henceserieswillbea,ar,ar2,ar3.... upto infinityAccording to question:a+ar=15a1+r=15a=151+r ;iAlsoa=ar+ar2+ar3....upto infinityDividing both sides by a we get,1=r+r2+r3+.....upto infinitySum of infinite terms of G.P.=First Term1-Common Ratio1=r1-r1-r=r2r=1r=12Hence in i, we get,a=151+12=10Hence series is 10, 1012, 10122, 10123,.....upto infinity=10, 5, 52, 54,.....upto infinity
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