Expert: Richard J. Raridon - 12/6/2010

Question
6. Write the sigma notation for the series: 5+10+15+...+250  

7. Write the sigma notation for the series:

3.4+3.42+3.43+...+3.424


9. Write the sigma notation for the series: 3+7+11+15+...+399  

10. Write the sigma notation for the series: 1 + 1/3 + 1/9 + 1/27 ...  

11. Write the sigma notation for the series consisting of positive two-digit integers ending in 2.

12. Determine the sum for the arithmetic series:

n = 30, t1 = 25, t30 = 228


13. Determine the sum for the arithmetic series:

n = 44, t1 = 13, t44 = 400



14. Determine the sum for the arithmetic series:

n = 37, t1 = 23, t37 = 203



15. Determine the sum for the arithmetic series:

n = 41, t1 = 17, t41 = 245


16. Determine the sum for the arithmetic series:

n = 100, t1 = 17, t100 = 215


17. Determine the sum for the arithmetic series:

n = 50, t1 = 187, t50 = 40


27. A ship's clock strikes every half hour of a 4-hour period. After the first half hour it strikes "one bell," after another half hour it strikes "two bells," and so on until it strikes "eight bells" at the end of the four hour period. It then begins a new four hour period . How many strikes of the bell occur in one day?

28. Determine the sum for the geometric series: 27+18+12+8+...  

Answer
6. sum = (50/2)(5+250)
7. not a normal series
9. sum = (133/2)(3+399)
11. sum = (45/2)(10+98)
12. sum = (30/2)(25+228)
13. sum = (44/2)(13+400)
14. sum = (37/2)(23+203)
15. sum = (41/2)(17+245)
16. sum = (100/2)(17+215)
17. sum = (50/2)(187+40)
27. strikes = 36(6) = 216
28. sum = 27/(1-2/3) = 81