Alina

Step 1

The sum of the given equation is calculated as follows.

Step 2

The term *x* is a natural number.

Also, each of the terms *x*, *x+*1, *x+*2, *x+*3 and *x+*4 are natural numbers.

These are 5 consecutive numbers.

The sum of these natural numbers are given as 5*x+*10.

Step 3

The value of *x* may vary by time.

Consider the value of *x* as 1 and obtain the sum as follows.

Step 4

The sum of any set of consecutive natural numbers can be obtained by the given expression.

If we know the value of *x*, then the direct substitution of that value in to the expression 5*x+*10 results the sum.

So, it is easy to conclude that the sum of any set of natural numbers is finite.

Step 5

Answer:

The sum of any set of consecutive natural numbers is finite.

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