Question

Verify the following result with the help of any 2 examples. "if a natural number is of the type (3n+2), then its cube is also of the same type"​

Answer 1

Answer:

Step-by-step explanation:

We start from scratch.

The natural number must be greater than or equal to 5 for 3n+2 to hold

for natural numbers as N={ 1, 2 , 3 , 4 ,...}

For n=5,

3(1)+2 =5

3(41)+2=125=5^3

Meaning that only the value of n changes but if n , the natural number is 2 more than a k multiple of 3 , then it maintains that property.

For the second example,

For n=8 from 3(2)+2

For n=512, 3(170) +2