Find the sum of the following geometric sequences for the number of terms indicated.
| 1. | 4, 8, 16, 32, .. | to 10 terms |
| 2. | 2, 6, 18, 54, ... | to 8 terms |
| 3. | 14, 7, 3.5, 1.75, ... | to 10 terms |
| 4. | w, 2w², 4w³, ... | to 9 terms |
| 5. | 1.1, 1.21, 1.331, ... | to 12 terms |
| 6. | 2, -4, 8, -16, ... | to 10 terms |
| 7. | 1, -1, 1, -1, ... | to 100 terms |
| 8. | 200, 150, 112.5, ... | for 9 terms |
Find the sum to infinity of the following geometric sequences:
| 9. | 30, 15, 7.5, ... |
| 10. | 8, 2, 0.5, ... |
| 11. | 40, -10, 2.5, -0.625, ... |
12. The sum of the first 6 terms of a geometric sequence is 2912.
Find the first term if the common ratio is 3.
13. In a geometric sequence, the third term is 8 and the sixth term is 64.
a. Use simultaneous equations to find the common ratio and the first term.
b. Find the sum of the first 10 terms.
|
14. A politician says that she will give $10 to charity today and that she will add double the previous day's amount every day for a month (30 days). How much does she give to charity in total? Do you think she realised how much this would be? Check your answer here. |
 |
