Question

Відомо, що послідовність (an) – спадна арифметична прогресія. Якою з наведених може бути різниця цієї прогресії?​

Answer 1

Ответ:

Отрицательной.

Объяснение:

Арифметическая прогрессия задается рекуррентным соотношением: $a_{n+1} = a_n + d$, где d – разность арифметической прогрессии. Для убывающей арифметической прогрессии выполняется неравенство $a_{n+1} < a_n$, поэтому: $a_n + d < a_n$ и $d < 0$.

Answer 2

Arithmetic Progression with a Decreasing Sequence

An arithmetic progression with a decreasing sequence, denoted as (an), is a sequence in which each term is obtained by subtracting a fixed number from the previous term. The difference between consecutive terms in an arithmetic progression is called the common difference.

Possible Difference for the Given Arithmetic Progression The difference for the given arithmetic progression can be negative. This means that each term in the sequence is obtained by adding a fixed number to the previous term, resulting in a decreasing sequence.

Therefore, the difference for the given arithmetic progression can be a negative number.

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