Answer:
a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }
b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }
Step-by-step explanation:
a) As P(0) is true
we will assume that
- P(2) is true
- P(4) is true
- P(6) is true
this simply means that ; P(n) is true for all 'n' in the set
{ 0,2,4,6,8 ….. }
b) since P(0) and P(1) are true
we will assume that
also P(1) and P(2) are true
we will assume that
Also from the previous answers it can be seen that P(2) + P(3) is true
we will assume
This simply means that P(n) is true for all 'n' in the set
{ 0,1,2,3,4,5 ............ }