Lets talk about the basics of pythagoras (maths)?

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Step-by-step explanation:

The Pythagorean theorem states that for any right triangle with legs of length “a” and “b” and a hypotenuse of length “c,” the lengths of the sides always satisfy the relationship, “a^2 + b^2 = c^2.” In other words, the sum of the squares of the lengths of the two legs of a triangle is equal to the square of its hypotenuse. The formula is alternatively written with the hypotenuse length isolated (i.e., c = Sqrt(a^2 + b^2).

This is the definition.

you already gave the answer

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