P(n):11^(n+2)+1^(2n+1) ಅಲ್ಲಿ n ಧನಾತ್ಮಕ ಪೂರ್ಣಾಂಕ p(n) ರಿಂದ ಭಾಗಿಸಬಹುದು - | 11 | ಗಣಿತದ...

11^(n+2)+12^(2n+1) is divisible by 133

If P(11,r)=P(12,r-1) find n

If P(n) :1+4+7…….+(3n-2)=(1)/(2)n(3n-1) .Verify P(n) for n =1,2.

P={n^(3)+(n+1)^(3)+(n+2)^(3);n in N} and Q={8n:n in N} then

lim_ (n rarr oo) (^ nnP_ (n)) / (^^^ (n + 1) P_ (n + 1) - ^ (n) P_ (n)) =

Let P(n): n^(2)+n is odd, then P(n) Rightarrow P(n+1) for all n. and P(1) is not true. From here, we can conclude that