Question

Выписали двадцать членов арифметической прогрессии 18; 4;... Встретится ли среди них число -64​

Answer 1

Ответ:

Да

Объяснение:

q = 18 - 4 = 14;

|-64| + 4 = 70;

70 / 14 = 5;

Ps: можно лучший ответ?

Answer 2

Arithmetic Progression with 20 Terms

If we have an arithmetic progression with 20 terms, starting with 18 and an unknown second term, we can determine if the number -64 will be among these terms.

Finding the Common Difference To find the common difference, we can use the formula for the nth term of an arithmetic progression: \[a_n = a_1 + (n-1)d\] where: - \(a_n\) is the nth term, - \(a_1\) is the first term, - \(n\) is the term number, and - \(d\) is the common difference.

Calculating the Common Difference Given that the first term \(a_1 = 18\) and the 20th term \(a_{20}\) is unknown, we can use the formula to find the common difference \(d\).

\[a_{20} = a_1 + (20-1)d\]

Determining if -64 is Among the Terms

Once we have the common difference, we can determine if -64 will be among the terms by substituting the values into the formula and checking if -64 is one of the terms.

Let's calculate the common difference and check if -64 is among the terms.