Find two irrational numbers whose sum is rational

Two irrational numbers such that when you add them gives you a rational number could be and .

The result when adding these is -2 which is a rational number.

(There are infinitely many examples.)

Step-by-step explanation:

How about opposite irrational numbers?

The sum of opposite numbers, no matter the classification of that number, is 0.

So examples:

If you wanted some more examples that have a sum other than 0:

There are infinite amount of examples of the sum of two irrational numbers being a rational.

My last example: Two irrational numbers such that when you add them gives you a rational number could be and .

The result when adding these is -2 which is a rational number.

$35.59 in pounds

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for