What is the recursive formula for this sequence . 10,14,18,22,26

add 4 each time

the nth term is a_n or f(n)

the next term after that is a_{n+1} or f(n+1)

so each term is 4 more than previous

basically

a_{n+1}=4+a_n or

f(n+1)=4+f(n)

same thing

AC = 20

Step-by-step explanation:

C is the midpoint of BD.

That means that BC = CD

BC = x + 4

CD = 3x - 10

x + 4 = 3x - 10                       Subtract x from both sides

4 = 3x - x - 10                       Combine

4 = 2x - 10                            Add 10 to both sides

4 + 10 = 2x - 10 + 10            Combine

14 = 2x                                 Divide by 2

14/2 = 2x/2                          Combine

7 = x

AC = AB + BC

AC = 2x - 5 + x + 4

AC = 3x - 1

AC = 3*7 - 1

AC = 21 - 1

AC = 20