Question

Вы выписано несколько членов арифметической прогрессии -8,x,-12,-14 найдите x

Answer 1

Ответ:

разница между -12 и -8 равна 4 а значит число будет -10 .

Answer 2

Finding the Value of x in an Arithmetic Progression

To find the value of x in the arithmetic progression -8, x, -12, -14, 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 position of the term - d is the common difference

In this case, we know that: - a_1 = -8 - a_2 = x - a_3 = -12 - a_4 = -14

The common difference d can be found by subtracting any two consecutive terms.

Let's calculate the common difference and then find the value of x.

Calculating the Common Difference

The common difference d can be calculated using the formula: d = a_(n+1) - a_n

Substituting the given values: d = -12 - x = -14 - (-12)

Finding the Value of x

Now that we have the common difference, we can find the value of x using the formula for the nth term: a_2 = a_1 + (2-1)d

Substituting the values: x = -8 + d

Let's calculate the common difference and then find the value of x.