Search for: If a1,a2,…an are in H.P. then the expression a1a2+a2a3+…+an−1an is equal to If a1,a2,…an are in H.P. then the expression a1a2+a2a3+…+an−1an is equal to A(n-1)a1anBn(a1-an)C(n-1)(a1-an)Dna1an 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:a1,a2,…an are in H.P.⇒ 1a1,1a2,…1an are in A.P.⇒ 1a2−1a1=1a3−1a2=⋯1an−1an−1=d(say)⇒ a1a2=1da1−a2,a2a3=1da2−a3,…an−1an=1dan−1−anThus, a1a2+a2a3+…+an−1an =1da1−a2+a2−a3+…+an−1−an =1da1−anBut 1an=1a1+(n−1)d⇒a1−anana1=(n−1)d∴ a1a2+a2a3+…+an−1an=(n−1)a1an Related content Helping Verbs Letter To Your Friend About Your School Trip Action Verbs CUET 2024 – List of Colleges and Participating Universities Accepting CUET Exam Score SRMJEEE Online Test Series – Practice Papers KIITEE Sample Papers 2024 – Practice Paper PDF Download Linking Verbs NEET Exam Centres in Chhattisgarh 2024 Letter To Your Friend About Your Hobby NEET Exam Centres in Haryana 2024