Final answer:
The original statement about the infinite series 3 + 4 + 5 + 6 + … being equal to infinity is false; an example of a true statement about an infinite series with a finite sum is the geometric series 1 + (1/2) + (1/4) + (1/8) + …, which sums to 2.
Step-by-step explanation:
The statement "The sum of the infinite series 3 + 4 + 5 + 6 + … is infinity" is incorrect because this is not a convergent series and it does not have a finite sum. The correct way to rewrite the statement to make it true is: "The sum of the infinite series 1 + (1/2) + (1/4) + (1/8) + … is 2," as this is an example of a geometric series with both a common ratio less than one and a finite sum. The principle that A + B = B + A, which is called the commutative property of addition, confirms that the order in which two numbers are added does not affect their sum, but this property does not determine the convergence of a series.