Search for: If n is a positive integer, then (3+1)2n−(3−1)2n is If n is a positive integer, then (3+1)2n−(3−1)2n is Aan irrational numberBan odd positive integerCan even Positive integerDa rational number other than positive integers 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:(3+1)2n=2nC0(3)2n+2nC1(3)2n−1+2nC2(3)2n−2+…+2nC2n(3)2n−2nand (3−1)2n=2nC0(3)2n(−1)0+2nC1(3)2n−1(−1)1+2nC2(3)2n−2(−1)2+…+2nC2n(3)2n−2n(−1)2n∴ (3+1)2n−(3−1)2n=2 2nC1(3)2n−1+2nC3(3)2n−3+2nC5(3)2n−5+…+2nC2n−1(3)2n−(2n−1)which is most certainly an irrational number because of odd powers of 3 in each of the terms. Related content Appreciation Words Wave Optics Mind Map Alternating Current Mind Map for Class 12, JEE & NEET Paramedical Courses After Class 10 Top Courses After 12th Science with PCM, PCB and PCMB Subject Change Application in School and College CBSE Class 10 Result 2024: Is the Release Date Early? Check Expected Schedule Mizoram NEET Merit List 2023 Government Jobs After 12th Arts Stream Chhattisgarh NEET UG Merit List 2023