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 Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had