MATHEMATICAL INDUCTION - L1

Prove the following by using the Principle of mathematical induction AA n in N 4^(n) +15n-1 is divisble by 9.

Prove the following by using the Principle of mathematical induction AA n in N 2^(3n-1) is divisble by 7.

A circuit contains two inductors of self-inductance L_(1) and L_(2) in series (Fig) If M is the mutual inductence, then the effective inductance of the circuit shows will be

Prove the following by using the Principle of mathematical induction AA n in N 2^(n+1)>2n+1

Using the principle of Mathematical Induction, prove that forall nin N , 4^(n) - 3n - 1 is divisible by 9.

Three inductances are connected as shown below. Assuming no coupling, the resultant inductance will be- ( L_(1)=0.75 H, L_(2)=L_(3)=0.5 H)

Prove the following by using the Principle of mathematical induction AA n in N (1+x)^nge1+nx, where, xge-1

By Principle of Mathematical Induction 1 + 2 + 3 _____ + n = _____

Mutual inductance of two coils depends on their self inductance L_(1) and L_(2) as :