Which best describes the relationship between the successive terms in the sequence shown? 9,-1,-11,-21

Each element is obtained by adding -10 to the previous term

Step-by-step explanation:

Sequence refers to a set of elements such that the elements are arranged according to some rule .

The number of elements in a sequence is called length of sequence .

A sequence can be finite or infinite .

Sequence is said to be finite if it has finite number of elements and said to be infinite if it has infinite number of elements .

Given sequence : 9,-1,-11,-21

We need to describe the relationship between the successive terms in the sequence .

Here, we can see the following relation between elements :

So, each element is obtained by adding -10 to the previous term .

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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15