Question

Маша нарисовала в ряд 4 круга и пронумеровала их.затем она вверху нарисовала еще 3 круга и записала в каждом число равное сумме двух соседних чисел из первого ряда итд .наиди все оставшиеся суммы и узнай какое число будет записано вверху

Answer 1

В третьем ряду будут цифры 8, 12, а последняя цифра 20

Answer 2

Problem Analysis

Masha drew 4 circles in a row and numbered them. Then she drew 3 more circles above and wrote in each circle a number equal to the sum of the two neighboring numbers from the first row. The task is to find all the remaining sums and determine the number that will be written at the top.

Solution

To solve this problem, we can start by analyzing the given information step by step.

1. Masha drew 4 circles in a row and numbered them. Let's denote the numbers in the circles as A, B, C, and D, from left to right.

2. Masha drew 3 more circles above. Let's denote the numbers in these circles as X, Y, and Z, from left to right.

3. According to the given information, the number in the first circle of the second row (X) is equal to the sum of the two neighboring numbers from the first row (A and B). Similarly, the number in the second circle of the second row (Y) is equal to the sum of the two neighboring numbers from the first row (B and C), and the number in the third circle of the second row (Z) is equal to the sum of the two neighboring numbers from the first row (C and D).

4. To find the remaining sums, we need to determine the values of A, B, C, and D. Since we don't have any specific values for these numbers, we can represent them as variables.

5. Let's assume that A, B, C, and D are positive integers. We can then express the values of X, Y, and Z in terms of these variables:

- X = A + B - Y = B + C - Z = C + D

6. Now, we can find the value of the number that will be written at the top. According to the given information, this number should be equal to the sum of the two neighboring numbers from the second row (X and Y). Therefore, the number at the top can be expressed as:

- Top number = X + Y = (A + B) + (B + C) = A + 2B + C

7. To find all the remaining sums, we can substitute the values of X, Y, and Z from step 5 into the equation for the top number:

- Top number = X + Y = (A + B) + (B + C) = A + 2B + C

8. Therefore, the remaining sums are: - X + Z = (A + B) + (C + D) = A + B + C + D - Y + Z = (B + C) + (C + D) = B + 2C + D

9. Finally, we can conclude that the number written at the top will be equal to the sum of the two neighboring numbers from the second row, which is A + 2B + C.

Answer: The number that will be written at the top is A + 2B + C.

Please note that the specific values of A, B, C, and D are not provided in the given information, so we cannot determine the exact value of the top number or the remaining sums without additional information.

Let me know if you need any further assistance!