Find the explicit rule for arithmetic sequence 13, 23, 33, 43

Add 10 to get the next term

Step-by-step explanation:

13

13 + 10 = 23

23 + 10 = 33

33 + 10 = 43

 i forgot what the sequence is called but it is that sequence where you where subtract the first two numbers so for example if you subtract 13 from 23 you would get ten then you go to the next set of numbers so then you would subtract 33 from 43 and get 10..

Step-by-step explanation:

23-13=10, 43-33=10, 53-43=10, 63-53=10 and so on

so this sequence is having you find the common difference

hope this helps

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