Home
Class 12
MATHS
If n1 and n2 be randomly chosen from fir...

If `n_1 and n_2` be randomly chosen from first `50` positive integers and probability that.... `3^(n_1)+3^(n_2) and 8^(n_1)+8^(n2)` each is divisible by 5 be `P_1 and P_2` respectively, then...

Promotional Banner

Similar Questions

Explore conceptually related problems

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

For each n in N, 3.(5^(2n+1))+2^(3n+1) is divisible by

Show that n^(2)-1 is divisible by 8, if n is an odd positive integer.

Prove that for every positive integer n, 1^(n) + 8^(n) - 3^(n) - 6^(n) is divisible by 10.

If p is a fixed positive integer,prove by induction that p^(n+1)+(p+1)^(2n-1) is divisible by P^(2)+p+1 for all n in N

Show that n^2-1 is divisible by 8, if n is an odd positive integer.

Given P(n):3^(2n) -1 is divisible by 8 Check whether P(1) is true.