Write an explicit equation for the arithmetic sequence
3,7,11,15,19

= 4n - 1

Step-by-step explanation:

The n th term ( explicit equation) of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and

d = 7 - 3 = 11- 7 = 4

Hence

= 3 + 4(n - 1) = 3 + 4n - 4 = 4n - 1

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

0.02040816326