Think you’ve got your head wrapped around **Sequences and Series**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Find the explicit rule for the sequence 6, 10, 14, 18, …

{*a*_{n}} = 2*n*

{*a*_{n}} = 4*n*

{*a*_{n}} = *n* + 4

{*a*_{n}} = 2 + 2*n*

{*a*_{n}} = 2 + 4*n*

Q. Find the explicit rule for the sequence 3, 9, 27, 81, …

{*a*_{n}} = 3*n*

{*a*_{n}} = 3^{n}

{*a*_{n}} = 3^{n }+ 3

{*a*_{n}} = 3 + *n*

{*a*_{n}} = 3!

Q. Find the recursive rule for the sequence 5, 10, 15, 20, …

{*a*_{n}} = *a*_{n} + 5

{*a*_{n}} = *a*_{n-}1 + 5

{*a*_{n}} = *a*_{n}-2 + 5

{*a*_{n}} = 5(*a*_{n}-1)

{*a*_{n}} = 5*n*

Q. Find the recursive rule for the sequence 1, 4, 16, 64, …

{*a*_{n}} = 4(*a*_{n}-1)

{*a*_{n}} = 4 + *a*_{n}-1

{*a*_{n}} = 4^{n}

{*a*_{n}} = 4^{n-1}

{*a*_{n}} = 4!

Q. Find a_{10} for the sequence 1, 4, 7, 10, …

22

25

28

31

34

Q.

16

17

18

21

22

Q.

3/14

1/13

13/36

49/36

14

Q.

0

1

2

3

4

Q.

-14

14

-28

28

-56

Q.

1

3

222

444

666