Search for: In the expansion of x3−1x2n,n∈N, if the sum of the coefficients of x5 and x10is 0, then n is In the expansion of x3−1x2n,n∈N, if the sum of the coefficients of x5 and x10is 0, then n is A25B20C15DNone of these Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:x3−1r2nGeneral term Tr+1=n!r!(n−r)!(−1)n−rx5n−2nIf 5r−2n=5, then 5r=2n+5 or r=2n5+1If 5r−2n=10, then 5r=2n+10 or r=2n5+2x5 and x10 terms occurs if n=5kGiven that sum of x5 and x10 is zero.⇒5k!(2k+1)!(3k−1)!−5k!(2k+2)!(3k−2)!=0or 13k−1−12k+2=0or k=3⇒n=15 Related content Oppositional Defiant Disorders Good Friday Wishes CBSE Class 9 Physics Motion Worksheet Autism Spectrum Disorder Sine and Cosine Waves Hindu Festivals List 2024 JEE Main Eligibility Criteria 2024 Session 2 (Released), Age Limits, Qualifying Marks, and Important Factor MCQs on Plant Hormones Class 10 5 Reasons To Choose The Commerce Stream After 10th Fl Words