Search for: The sum of the series ∑r=0n (−1)r nCr12r+3r22r+7r23r+15r24r+…+m terms is The sum of the series ∑r=0n (−1)r nCr12r+3r22r+7r23r+15r24r+…+m terms is A2mn−12mn2n−1B2mn−12n−1C2mn+12n+1DNone 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:∑nn (−1)rnCr12r+3r22r+7r23r+… upto m terms =∑r=0n (−1)r nCr⋅12r+∑r=0n (−1)r⋅nCr3r22r+∑r=0n (−1)rnCr7r23r+…=1−12n+1−34n+1−78n+…up to M terms=12n+122n+123n… upto m terms =12n1−12nm1−12n=2mn−12mn2n−1 Related content CBSE Class 12 Biology Previous Year Question Paper Story Writing Class 9 Format, Examples, Topics, Exercises CBSE Class 10 Passing Criteria & Study Hacks Gk Questions On Doctor B.r. Ambedkar Jayanti JEE Droppers Eligibility Criteria, How Does It Affect JEE Exam Preparation? World Sparrow Day 2024 Adjective Worksheet for Class 6 Noun Worksheet For Class 6 Benefits of Scholarship Test for IIT JEE Coaching | Get Up To 100% Scholarship Erosion