Search for: If α and β are the roots of the equation ax2+bx+c=0 and Sn=αn+βn, then aSn+1+bSn+cSn−1is equal to If α and β are the roots of the equation ax2+bx+c=0 and Sn=αn+βn, then aSn+1+bSn+cSn−1is equal to A0BabcCa+b+cDNone 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:Given, α and β are the roots of equation ax2+bx+c=0 and Sn=αn+βn∴ α+β=−ba and αβ=caNow, Sn+1=αn+1+βn+1=αn+1+βn+1+αnβ+βnα−αnβ−βnα=αn(α+β)+βn(α+β)−αβαn−1+βn−1=(α+β)αn+βn−αβαn−1+βn−1=−baSn−caSn−1⇒ Sn+1=−bSn−cSn−1a∴ aSn+1+bSn+cSn−1=0. Related content CBSE Class 8 Science Worksheet NSEP – National Standard Examination in Physics Tips for Class 10 Students to Prepare for JEE Main Engineering Exam CBSE Class 8 GK Worksheet NSEJS – National Standard Examination In Junior Scientific NEET 2024 Registration Last Date Extended till March 16 by NTA Class 8 Maths Worksheet Crack CBSE Class 12 Biology Exam 2024: 7 Unique Strategies for Top Scores Important Diagrams For CBSE Class 9 Science NEET 2024 Information Bulletin Released