Search for: If m is the A.M. of two distinct real numbers I and n (l,n>1) and G1,G2 and G3 are three geometric means between I and n, then G14+2G24+G34 equals : If m is the A.M. of two distinct real numbers I and n (l,n>1) and G1,G2 and G3 are three geometric means between I and n, then G14+2G24+G34 equals : A4 lmn2B4 l2m2n2C4 l2mnD4 lm2n 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, m=l+n2Let r be the common ratio of the G.P. l,G1,G2,G3,n Then,n=lr4⇒r=nl1/4∴ G1=lr=l3/4n1/4,G2=lr2=l2/4n2/4,G3=lr3=l1/4n3/4⇒ G14+2G24+G34=l3n+2l2n2+ln3 =ln(l+n)2=ln(2m)2=4lm2n. Related content Autism Spectrum Disorder Sine and Cosine Waves Hindu Festivals List 2024 JEE Main Eligibility Criteria 2024 Session 2 (Released), Age Limits, Qualifying Marks, and Important Factor MCQs on Plant Hormones Class 10 5 Reasons To Choose The Commerce Stream After 10th Fl Words Homophones 9 Letter Words Tr Words: Check the List of Words Containing ‘Tr’