Question

3. Найдите разность арифметической прогрессии (an), если: a1 =54. бригада стеклодувов изготовила в январе 80 изделий, а в каждый следующий месяц изготовляла на 17 изделий больше, чем в предыдущий. Сколько изделий изготовила бригада в августе?декабре? Помогите решить, пожалуйста, с полными решениями

Answer 1

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Answer 2

Arithmetic Progression

To find the difference of an arithmetic progression (AP), we need to know the first term (a1) and the common difference (d). In this case, the first term (a1) is given as 54.

Common Difference

The common difference (d) can be calculated by finding the difference between any two consecutive terms in the arithmetic progression. In this case, the difference between each month's production is given as 17.

Calculation

To find the number of items produced by the glassblower brigade in August and December, we need to calculate the terms of the arithmetic progression.

Let's calculate the number of items produced in August and December step by step:

1. January: The brigade produced 80 items. 2. February: The brigade produced 80 + 17 = 97 items. 3. March: The brigade produced 97 + 17 = 114 items. 4. April: The brigade produced 114 + 17 = 131 items. 5. May: The brigade produced 131 + 17 = 148 items. 6. June: The brigade produced 148 + 17 = 165 items. 7. July: The brigade produced 165 + 17 = 182 items. 8. August: The brigade produced 182 + 17 = 199 items. 9. September: The brigade produced 199 + 17 = 216 items. 10. October: The brigade produced 216 + 17 = 233 items. 11. November: The brigade produced 233 + 17 = 250 items. 12. December: The brigade produced 250 + 17 = 267 items.

Therefore, the glassblower brigade produced 199 items in August and 267 items in December.

Please let me know if you need any further assistance!