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1. find the next three terms in the sequence.
30, 22, 14, 6, . .

a. –3, –12, –21
b. –1, –8, –15
c. –1, –2, 3
d. –2, –10, –18

2. write a rule for the sequence.
4, 8, 16, 32, . .

a. start with 4, and multiply by 2 repeatedly.
b. start with 4, and add 8 repeatedly.
c. start with 4, and add 2 repeatedly.
d. start with 2, and multiply by 4 repeatedly.

3. find the first four terms of the sequence represented by the expression.
3n + 5

a. 3, 8, 14, 20
b. 8, 11, 14, 17
c. 3, 6, 9, 12
d. 0, 8, 11, 14

Question 1

You can see that each term is obtained from the previous one by subtracting 8. Starting from 30, we subtract 8 to get 22. Then, we subtract 8 to get 14, and we subtract 8 to get 6.

So, the next three terms will be given by subtracting 8 again and again:

Correct D

Question 2

The sequence starts with 4, and so option is surely wrong. Every next term is given by doubling the previous one: starting with 4, we double it to get 8; we double it it get 16, and finally we double it to get 32.

Correct A

Question 3

In order to find the first four terms of the sequence, we have to plug the values in the equation: we have

Correct B

i'm sorry i don't know

step-by-step explanation: