Search for: The sum of the following series 1+6+912+22+327+1212+22+32+429+1512+22+…+5211+… upto 15 terms, is The sum of the following series 1+6+912+22+327+1212+22+32+429+1512+22+…+5211+… upto 15 terms, is A7510B7820C7830D7520 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:The nth term of given expression isTn=(3+(n−1)3)12+22+32+…+n2(2n+1)=3n⋅n(n+1)(2n+1)62n+1=n2(n+1)2Now, S15=12∑n=115 n3+n2 =1215(15+1)22+15×16×316=12(120)2+1240=7820 Related content Tenses Worksheet for Class 10 CBSE Class 7 Science Chapter 3 Heat MCQ Questions with Answers Nephron Diagram Class 10 CBSE Class 7 Science Chapter 2 Nutrition in Animals MCQ with Answers Rabindranath Tagore Jayanti 2024 Rahin Ke Dohe Class 9 Question Answers – MCQs 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