Question

Чему равен первый отрицательный член арифметической прогрессии: 6,8; 5,2;…?

Answer 1

Ответ:

-1.2

Объяснение:

6.8-5.2=1.6

5.2-1.6=3.6

3.6-1.6=2

2-1.6=0.4

0.4-1.6=-1.2

Answer 2

Arithmetic Progression and First Negative Term

In an arithmetic progression, each term is obtained by adding a fixed number to the previous term. The fixed number is called the common difference. Given the arithmetic progression: 6, 8, 5.2, ...

The common difference can be calculated as follows: Common difference (d) = 8 - 6 = 2 Next term = 5.2 Previous term = 8 Common difference (d) = 8 - 5.2 = 2.8

So, the common difference is 2.8.

To find the first negative term, we can use the formula for the nth term of an arithmetic progression: nth term (Tn) = a + (n-1)d Where: Tn = nth term a = first term n = term number d = common difference

We need to find the value of n for which Tn becomes negative.

Let's calculate the first negative term using the formula: Tn = a + (n-1)d

Given: a = 6 (first term) d = 2.8 (common difference)

We need to find the value of n for which Tn becomes negative.

Using the formula, we can solve for n: 6 + (n-1) * 2.8 < 0

Solving for n: 6 + 2.8n - 2.8 < 0 2.8n + 3.2 < 0 2.8n < -3.2 n < -3.2 / 2.8 n < -1.14

The first negative term occurs at n = -1.14. Since the term number cannot be negative, it means that there is no first negative term in this arithmetic progression.

Therefore, the first negative term in the given arithmetic progression: 6, 8, 5.2, ... does not exist. This means that the arithmetic progression does not have a first negative term.