Let `P(n)=7n+18+k` and if `P(3)=41` then the ratio of `P(10)` and `P(20)` is

Let P_(m) stand for nP_(m). Then the expression 1.P_(1)+2.P_(2)+3.P_(3)+...+n.P_(n)=:

Let P(n) be the statement "7 divides 2^(3n)-1 ." What is P(n+1) ?

Let P (n) be the statement 2^(3n) - 1 is integral multiple of 7. Then P (3) is true.

Let P(n): n^(2)-n+41 is a prime number, then

Let P(n) be the statement 7 divides (2^(3n)-1)* What is P(n+1)?

Let P(n) be the statement 7 divides (2^(3n)-1)dot What is P(n+1)?

If P(n) is the statement n^(2)-n+41 is prime. Prove that P(1),P(2) and P(3) are true. Prove also that P(41) is not true.

Let P(n):n^(2)+n+1 is an even integer.If P(k) is assumed true rArr P(k+1) is true. Therefore P(n) is true: