Expert: Richard J. Raridon - 7/21/2010

Question
1)Determine if the sequence is geometric, arithmetic, both, or neither: 256, 64, 16, 4, ...

2)Determine if the sequence is arithmetic, geometric, both, or neither:
-64, 32, -16, 8, -4, ...

3)Determine if the sequence is arithmetic, geometric, both, or neither:
1/2, 2/13, 3/13, 4/14

4) Find the first four terms of the sequence:
tn = 2n + 1

5) Find the first four terms of the sequence:
tn = 2 x 3n

6)Find the first four terms of the sequence:
tn = 13 - 4n

7)Find the first four terms of the sequence:
tn = log10n

8)What type of sequence is:
log2 1, log2 4, log2 16, log2 64

9)What type of sequence is:
log2 1, log2 4, log2 16, log2 64

10)Find the next two terms using the pattern in the difference    between terms for the sequence:
24, 23, 21, 17, 9, ...

11)Find the next two terms using the pattern in the difference between terms for the sequence:
1, 2, 6, 15, 31, ...

12)Determine the formula for the nth term of the arithmetic sequence:>
30, 20, 10, 0, ...

13)Determine the formula for the nth term of the arithmetic sequence:

-6, -1, 4, 9, ...

14) Determine the formula for the nth term of the arithmetic sequence:
13, 4, -5, -14, ...

15)Determine the specified term for the arithmetic sequence:
3, 11, 19, ..., t31

16)Determine the specified term for the arithmetic sequence:
t8 = 60, t12 = 48, t40

17)Find the arithmetic mean for the pair of numbers:
2.3, 9.1

18)How many terms are in the sequence:
44, 36, 28, ..., -380?

19)Find a formula for the nth term of the geometric sequence:
500, 100, 20, 4, ...

20)Find a formula for the nth term of the geometric sequence:
8, 12, 18, 27, ...

21)Find a formula for the nth term of the geometric sequence:
-1, 0.1, -0.01, 0.001, ...

22)Find the specified term for the geometric sequence:
10, 50, 250, 1250, ..., t6

23)Find the specified term for the geometric sequence:
t3 = 12, t6 = 96, t8

24)Find the specified term for the sequence:
t2 = 8, t4 = 72, t1

25)Find the geometric mean for the pair of numbers: 1/12, 1/18

26)Find the geometric mean for the pair of numbers: -18, -36

27)Choose a formula for the nth term of the sequence of the odd integers greater than two.

28)Choose a formula for the nth term of the sequence:
-17, -11, -5, 1, ...

29)Choose a formula for the nth term of the sequence:
a^2/2

30)Find a formula for the nth term of this arithmetic sequence: 15, 27, 39...

31) Frank has taken a job with a starting salary of $15,000 and annual raises of 4%. What will his salary be during his fourth year on the job?

32)The width of a pyramid decreases by 1.57 m for each successive 1 m of height. If the width at a height of 1 m is 229.22 m, what is the width at a height of 86 m?

33)An advertisement for a mutual fund claims that people who invested in the fund 5 years ago have doubled their money. If the fund's future performance is similar to its past performance, how much would a $2000 investment be worth in 40 years?

34)A projectile fired vertically upward rises 15,840 ft in the first second, 15,808 ft during the following second, and 15,776 ft the third second. How many feet does it rise the 45th second?

35) A house purchased last year for $80,000 is now worth $96,000. Assuming that the value of the house continues to appreciate (increase) at the same rate each year, find the value 2 years from now.

Answer
1. geometric
2. geometric
3. neither
4. 3,5,7,9
5. 6,12,18,24
6. 9,5,1,-3
7. 1,2,3,4
8. arithmetic
9. same as 8
10. -7, -39
11. 56,92
12. t(n) = 40-10n
13. t(n) = -11+5n
14. t(n) = 22-9n
15. 243
16. 36
17. 5.7
18. 54
19. N= 500(1.5)^n-1
20. N= 8(1.5)^n-1
21. N = -1(-0.1)^n-1
22. 31250
23. 384
24. 8/3
25. 14.7
26. -25.46
27. t(n) = 1+2(n-1) or -1+2n
28. t(n) = -25+8n
29. n^2/2
30. t(n) = 3+12n
31. $16,873
32. 95.77m
33. $512,000
34. 14,432 ft
35. $138,240
Since I get several queries a day, most of which only have a few questions, I don't generally have time to work 35 questions.