Respuesta :

Answer:

x = 3

Step-by-step explanation:

The pattern is that every other number increases by 1, while the next decreases by 2

1. 17,18,19,20

2. 9,7,5,x

5-2 =3

3 is the answer.

Solutions:

Odd Terms: 17, 18, 19, 20

Find the common difference.

d = a₂ - a₁

d = 18 - 17

d = 1

Thus, for every odd term, the next terms are derived by adding 1.

Even Terms: 9, 7, 5, x

Find the common difference.

d = a₂ - a₁

d= 7 - 9

d = -2

Find x.

x = 5 + d

x = 5 + (-2)

x = 5 - 2

x = 3

Therefore, x = 3.

What is a  sequence?

In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.  

Learn more about sequences are:https://brainly.com/question/6561461

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