Search for: Let a1=0 and a1,a2,a3,…,an be real numbers such that ai=ai−1+1 for all i, then the A.M. of the numbers a1,a2,a3,…,an has the value A where Let a1=0 and a1,a2,a3,…,an be real numbers such that ai=ai−1+1 for all i, then the A.M. of the numbers a1,a2,a3,…,an has the value A where AA<−12BA<−1CA≥−12DA=−12 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:We have,ai=ai−1+1 for all i=2,3,…n+1 ⇒ ai2=ai−1+12⇒ ai2−ai−12=2ai−1+1⇒ ∑i=2n+1 ai2−ai−12=∑i=2n+1 2ai−1+1⇒an+12−a12=2a1+a2+…+an+n⇒ an+12=2nA+n ∵A=a1+a2+…+ann and a1=0⇒ A=12nan+12−n⇒A=an+122n−12⇒A≥−12 Related content List of All High Courts in India 2024 Onam Poster Design and Templates How Many Liters in a Gallon? World Ozone Day 2024 When is Onam 2024? Understanding Kerala’s Grand Harvest Festival Karnataka NEET Cut Off 2024 Happy Onam 2024: Top 50 Wishes in Malayalam, English and Hindi Which City is Best for IIT JEE & NEET Coaching? Which Coaching Produces Most IITians? Best Long Term Coaching for IIT JEE in Hyderabad – Should I take long term for IIT? Ganesh Chaturthi Decoration Ideas At Home