Question

Аня сбирает бусы . у неё есть звездочка и много бусинок трех цветов: белые,серые и черные. сначала она закрепмла звездочку,а потом стала нанизывать бусинки : сначала белую,потом серую, потом черную,белую,серую,черную и так далее. Первую бусинку она надела справа от звездочки,вторую- слева, потом опять справа,потом слева так так далее, Верно ли утверждение? 1) десятая надетая бусинка -серая 2)среди первых 14 бусинок серых больше,чем черных 3) слева от звездочки сороковая бусинка будет белой

Answer 1

Я выбегаю вариант под номером один десятая бусенка серая

Answer 2

Background Information

Anya is making a necklace with beads of three different colors: white, gray, and black. She starts by attaching a star-shaped bead and then stringing the beads in a specific pattern. The first bead is placed to the right of the star, the second bead to the left, and so on. The question asks whether three statements about the necklace are correct.

Analysis of the Statements

1) The tenth bead is gray. 2) Among the first 14 beads, there are more gray beads than black beads. 3) The fortieth bead to the left of the star will be white.

Statement 1: The Tenth Bead is Gray

To determine the color of the tenth bead, we need to understand the pattern in which Anya is stringing the beads. She starts with a white bead, followed by a gray bead, and then a black bead. This pattern repeats: white, gray, black, white, gray, black, and so on.

To find the color of the tenth bead, we can count the number of times the pattern repeats. Since each repetition consists of three beads, we divide 10 by 3 to find the number of complete repetitions. The remainder will tell us the position within the pattern.

10 divided by 3 is 3, with a remainder of 1. This means that after three complete repetitions of the pattern, Anya will be at the first bead of the fourth repetition. Therefore, the tenth bead will be the first bead of the fourth repetition, which is a white bead.

Statement 2: More Gray Beads than Black Beads Among the First 14 Beads

To determine whether there are more gray beads than black beads among the first 14 beads, we need to analyze the pattern and count the number of gray and black beads.

The pattern repeats every three beads: white, gray, black. So, among the first 14 beads, there will be four complete repetitions of the pattern, with two additional beads.

Each complete repetition consists of one gray bead and one black bead. Therefore, among the first 12 beads, there will be four gray beads and four black beads.

The remaining two beads will be the first bead of the fifth repetition and the second bead of the fifth repetition. According to the pattern, the first bead of the fifth repetition is white, and the second bead is gray.

Therefore, among the first 14 beads, there are four gray beads and four black beads. The statement is incorrect because there are an equal number of gray and black beads.

Statement 3: The Fortieth Bead to the Left of the Star is White

To determine the color of the fortieth bead to the left of the star, we need to understand the pattern and count the number of beads.

The pattern repeats every three beads: white, gray, black. So, to find the fortieth bead, we need to count the number of complete repetitions and the position within the pattern.

Since each complete repetition consists of three beads, we divide 40 by 3 to find the number of complete repetitions. The remainder will tell us the position within the pattern.

40 divided by 3 is 13, with a remainder of 1. This means that after thirteen complete repetitions of the pattern, Anya will be at the first bead of the fourteenth repetition. Therefore, the fortieth bead to the left of the star will be the first bead of the fourteenth repetition, which is a white bead.

Summary of Statements

1) The tenth bead is gray. - Incorrect. The tenth bead is white. 2) Among the first 14 beads, there are more gray beads than black beads. - Incorrect. There are an equal number of gray and black beads. 3) The fortieth bead to the left of the star will be white. - Correct. The fortieth bead to the left of the star is white.

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