Proof by induction
Lets consider this as a statement
(this means P(h) addresses for n= h)
Show it for n= 1
P(1): a1= 5(1) -3 = 2
Its given in the question that a1 =2
Thus this statement is correct for n=1
Assume it correct for n= k
So we have assumed that
P(k) is correct this means
P(k):
Using above assumption prove it for n= k+1
So we need to prove that P(k+1) is correct using the assumption that P(k) is correct
steps
TO Prove Given
&
Proof:
This proves that its correct for k+1
Hence its correct for all real numbers through the principle of mathematical induction