What is the recursive rule for an=3n+5

a. a1=5; an=an−1+3

b. a1=8; an=an−1+5

c. a1=3; an=an−1+5

d. a1=8; an=an−1+3

Option d is correct.

Step-by-step explanation:

We have given a formula

We will put different values of n so, as to get

from the given formula

When n =1  we get

When n=2 we get

When n=3 we get

We can see that next term is 3 more than the previous term

Hence,

Therefore, Option d is correct.

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1