a.
b.
c.
d.
e.
f.
g.
1.
d = 10
d = 4
Not arithmetic
d = -6
d = w + 3
d = 2.1
d = -1
2.
50, 60
23, 27
Not arithmetic
-10, -16

5w + 12

6w + 15

12, 14.1
p − 3, p − 4
3.
72
50
-29
-525
293
17√5
41z − 40
4.
tn = 5n + 10
tn = 3n − 1
tn = 9 − 4n
tn = q(2n − 1)
tn = 26 − 8n
tn = 4.6n − 0.1
tn = 20n + 990

5. d = 3, a = 3 and the sequence is 3, 6, 9, 12, ...

6. d = -0.6, a = 9.9 and the sequence is 9.9, 9.3, 8.7, 8.1, ...

7. There are 162 multiples of 4 between 982 and 334.

8. 147 is the 48th term of the sequence.

9. -100 is the 41st term of the sequence.

10. She would run 11.4 km.

11. 1200

12. 900

13. -130

14. 630w + 1785

15. 834.3

16. -16276

17. 900

21. 20800

22. d = 4.5

23. 5700 handshakes

24. 15 terms

25. a. (i) There is an approximate decrease of 8 accounts each week.

(ii) d = -8 and a = 536

b. The 52nd term is 128

c. There would be 17 264 accounts at the end of the year so the bank would not reach its goal of 20 000 accounts.