Check sibling questions

Ex 4.1, 10 - Chapter 4 Class 11 Mathematical Induction

Last updated at May 29, 2018 by

Ex 4.1,10 - Prove 1/2.5 + 1/5.8 + 1/8.11 + .. + 1/(3n-1)(3n+2) - Equal - 1 upon addition

Ex 4.1, 10 - Chapter 4 Class 11 Mathematical Induction - Part 2
Ex 4.1, 10 - Chapter 4 Class 11 Mathematical Induction - Part 3
Ex 4.1, 10 - Chapter 4 Class 11 Mathematical Induction - Part 4

This video is only available for Teachoo black users

Subscribe Now

Solve all your doubts with Teachoo Black (new monthly pack available now!)

Join Teachoo Black

Transcript

Ex 4.1,10 Prove the following by using the principle of mathematical induction for all n N: 1/2.5 + 1/5.8 + 1/8.11 + .+ 1/((3 1)(3 + 2)) = /((6 + 4)) Let P (n) : 1/2.5 + 1/5.8 + 1/8.11 + .+ 1/((3 1)(3 + 2)) = /((6 + 4)) For n = 1, L.H.S = 1/2.5 = 1/10 R.H.S = 1/((6(1) + 4)) = 1/((6 + 4)) = 1/10 Hence, L.H.S. = R.H.S , P(n) is true for n = 1 Assume P(k) is true 1/2.5 + 1/5.8 + 1/8.11 + .+ 1/((3 1)(3 + 2)) = /((6 + 4)) We will prove that P(k + 1) is true. R.H.S = (( + 1))/((6( + 1) + 4) ) L.H.S = 1/2.5 + 1/5.8 + 1/8.11 + .+ 1/((3( +1) 1)(3( +1)+ 2))

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.