Worksheet Prove Divisibility by Method of Induction

Sum of natural number
sum of square
Q1. Prove that (9^n-2^n ) is divisible by 7 for all nϵN.
Q2. Prove that (x^n-y^n ) is divisible by (x-y) for all nϵN.
Q3. Prove that (x^2n-y^2n ) is divisible by (x+y) for all nϵN.
Q4. Prove that (9^n-2^n ) is divisible by 7 for all nϵN.
Q5. Prove that (2^(n+2)+3^(2n+1) ) is divisible by 7 for all nϵN.
Q6. Prove that (2^3n-1) is divisible by 7 for all nϵN.
Q7. Prove that (10^(2n-1)+1) is divisible by 11 for all nϵN.
Q8. Prove that (2^6n+3^(2n-2) ) is divisible by 5 for all nϵN. #GCSE #SAT #EQAO #IBSLmath

[jethior]

sir, i have been looking for such a vedio so far and finally i found it out

[jacekyle]

sir i think u made a mistake at 17:26 where u factored out the x^2k - y^2k
it wasn't supposed to be factored coz its not common...but all in all..this video has helped me understand

[Tolgasah]

Thanks a lot Mr. Kumar, this video helped me so much.