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

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 ." What is P(n+1) ?

Let P(n) be the statement : 2^(n)gt 1 . Is P(1) true ?

Let P(n) be the statement : 3^(n)gt n What is P(n+1) ?

Let P(n) be the statement "n+3" is prime. Is P(3) true? What is your opinion when n=4?

Let P (n) be the statement ''3^n >n'' . Is P (1) true?

Let P (n) be the statement ''3^n >n'' . What is P(n+1) ?

Let P(n) be the statement ''2^n > 1’’ . Is P(1) true ?

Let P(n) be the statement: 2^(n)>=3n. If P(r) is true,show that P(r+1) is true.Do you conclude that P(n) is true for all n in N

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