Question

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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

Answer 1

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:

$6-8=-2\\-2-8=-10\\-10-8=-18$

Correct answer: 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 answer: A

Question 3

In order to find the first four terms of the sequence, we have to plug the values $n=1,\ 2,\ 3,\ 4$ in the equation: we have

$\begin{array}{c|c}n&3n+5\\1&8\\2&11\\3&14\\4&17\end{array}$

Correct answer: B