Search for: Suppose a0=2017,a1a2,…,an−1,2023=an an are in A.P. Let S=12n+1∑r=0n nCrar−1000Then S is equal to Suppose a0=2017,a1a2,…,an−1,2023=an an are in A.P. Let S=12n+1∑r=0n nCrar−1000Then S is equal to A10B40C2013D2021 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:Put nCr=Cr and let T=a0C0+a1C1+a2C2+…+anCn Using, Cr=Cn−rCr=Cn−rT=anC0+an−1C1+…+a0CnAdding (1) and (2), we get2T=a0+anC0+a1+an−1C1+a2+an−2C2+…+an+a0CnBut a0+an=a1+an−1=a2+an−2=…=an+a0=2017+2023∴2T=4040C0+C1+…+Cn⇒T=(2020)2n=(1010)2n+1 Thus, S=12n+1(T)−1000=10 Related content Class 9 Science MCQ Chapter 12 Sound CBSE Class 12 English MCQ with Answers (Flamingo & Vistas) CBSE Class 7 Science MCQ Questions with Answers CBSE Class 12 Subject Wise MCQ 2024-25 ICSE Class 10 Toppers List 2024 Available Tenses Worksheet for Class 10 CBSE Class 7 Science Chapter 4 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