The set of natural numbers is {1, 2, 3, 4, ...} basically positive whole numbers
The set of whole numbers is {0, 1, 2, 3, ...} which is the set of natural numbers with 0 included
The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} consisting of positive and negative whole numbers, plus zero as well
The set of rational numbers is the set of all fractions of the form a/b where b is not equal to zero. Any whole number, natural number, and integer is also a rational number.
If the number cannot be expressed as a rational number, then it is said to be irrational
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With all that in mind, the answers are "integer" and "rational" as you wrote in the comment section above. The value -25 is in the set {..., -3, -2, -1, 0, 1, 2, 3, ...} which is the set of integers. So we can say that -25 is an integer.
-25 is not a whole number based on the definition I wrote above. The set of whole numbers I wrote above does not include any negative values. This is why -25 is not a natural number either.
We can say that -25 is rational since -25 = -25/1 which is a fraction of integers. Since -25 is rational, it cannot be irrational.
<span>(x^2)/36 - (x^4)/1944 + (23x^6)/2099520 - (11x^8)/44089920 + (563x^10)/95234227200
radius of convergence = DNE (the series does not converge)</span>
You did not make clear the question, revise and I will help you!
