Question

the cube of a natural number of a farmer 3n + 1 is also of the form 3 and + 1​

Answer 1

Answer:

Five natural numbers of the form (3n + 1) could be written by choosing n = 1, 2, 3, … etc.

Let five such numbers be 4, 7, 10, 13, and 16.

The cubes of these five numbers are: 43 = 64, 73 = 343, 103 = 1000, 133 =  2197 and l63 = 4096

The cubes of the numbers 4, 7, 10, 13, and 16 could be expressed as:

64 = 3 x 21 + 1,

It is of the form (3n + 1) for n = 21

343 = 3 x 114 + 1,

It is of the form (3n + 1) for n = 114

1000 = 3 x 333 + 1,

It is of the form (3n + 1) for n = 333

2197 = 3 x 732 + 1,

It is of the form (3n + 1) for n = 732

4096 = 3 x 1365 + 1,

It is of the form (3n + 1) for n = 1365

The cubes of the numbers 4, 7, 10, 13, and 16 could be expressed as the natural numbers of the form (3n + 1) for some natural number n; therefore, the statement is verified.

There u go mate

Step-by-step explanation:

Answer 2

Step-by-step explanation:

a=bq+r

a=3n+1

b=3

the possibility of r is 0

r=0

a=bq+r

a=3n+0

it is odd integer