Choose the constant term that completes the perfect square trinomial. y2 + 1/2y

The constant term is found by taking the coefficient of y, dividing it by 2, and squaring the result.

In this case, the coefficient is 1/2. 1/2 of 1/2 is 1/4.

The square of 1/4 is 1/16.

So, the constant term is 1/16.

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note: the best i know.

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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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