prove that 1/1.4+1/4.7+1/7.10+..........+1/(3n- 2)(3n+ 1)=n/(3n+ 1) || Worldeez Academy

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Use MI to prove 1/(1Ɨ4 )+1/(4Ɨ7)+1/(7Ɨ10)+........=n/(3n+1) for all nā‚¬ N Use MI to prove 1/(1Ɨ4 )+1/(4Ɨ7)+1/(7Ɨ10)+........=n/(3n+1) for all nā‚¬ N
1/1.4 + 1/4.7 + 1/7.10 +....upto n terms = n/3n+1 @EAG 1/1.4 + 1/4.7 + 1/7.10 +....upto n terms = n/3n+1 @EAG
Mathematical Induction: Prove that 1/1.4 + 1/4.7 + 1/7.10 ... + 1/(3 n-2)(3 n+1) = n/(3 n+1) Mathematical Induction: Prove that 1/1.4 + 1/4.7 + 1/7.10 ... + 1/(3 n-2)(3 n+1) = n/(3 n+1)
`(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+.......` `(1)/((3n-1)(3n+))=(n)/((3n+1))` `(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+.......` `(1)/((3n-1)(3n+))=(n)/((3n+1))`
Prove by the principle of Mathematical induction |1/1.4 + 1/4.7 + 1/7.10 + ā€¦ + 1/(3n-2)(3n+1)=n/3n+1 Prove by the principle of Mathematical induction |1/1.4 + 1/4.7 + 1/7.10 + ā€¦ + 1/(3n-2)(3n+1)=n/3n+1
For all n ā‰„ 1, prove that1/1.2+1/2.3+ 1/ 3.4+... 1/n(n+1)=n/n+1 .|| Worldeez Academy For all n ā‰„ 1, prove that1/1.2+1/2.3+ 1/ 3.4+... 1/n(n+1)=n/n+1 .|| Worldeez Academy
Proof by Induction Proof by Induction
By the principle of mathematical induction show that 1/1.4 + 1/4.7 +1/7.10 +.. Upto n terms = n/3n+1 By the principle of mathematical induction show that 1/1.4 + 1/4.7 +1/7.10 +.. Upto n terms = n/3n+1