Can someone , my homework is so soon

The line above the 6 and 3 means that those are recurring, so the full number is 2.63636363 Recurring numbers can never be defined by decimals, because there is no end to the numbers repeating. It can only be defined by a fraction, so that means the number is irrational. Because it is between integers (a fraction that can't be simplified and will give a recurring decimal), it can't be a real number. All rational numbers are real numbers, but no irrational number can be a real number.

Therefore, your answer is 'Irrational number'.

Hope I helped!

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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

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