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Discipline: Math

Question topic: Binomial Theorem

Source: Originais Teachy

Level of difficulty: Medium

(Originais Teachy 2023) - Question Medium of Math

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Answer:

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Binomial Theorem
Teachy originals
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A flower seller wants to create new arrangements for his business and decides to study combinations and arrangements of flowers using the Binomial Theorem. Considering that he has blue flowers (represented by x) and red flowers (represented by y), the seller wants to organize an arrangement with exactly 7 flowers. a) Determine the expansion of the binomial (x+y)^7 and list all the terms. b) Calculate the independent term of x in the expansion. c) Find the sum of the coefficients of the terms in the expansion.
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A person bought a car for cash, obtaining a 10% discount. He paid with 37,620 fifty-cent coins. The price of the car, without the discount, was:
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Observe the sequence of figures below, built with black and white balls, all of the same size. "Figure 1 is composed of 1 white ball surrounded by 8 black balls. Figure 2, 4 white balls surrounded by 12 black balls and so on." The number of black balls in the figure composed of 676 white balls is
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