0580 P41 - Jun 2011 - Q10 - 13 marks
16342
| Sequence | 1st | 2nd | 3rd | 4th | 5th | nth |
|---|---|---|---|---|---|---|
| A | 1 | \(n^3\) | ||||
| B | 4 | \(4n\) | ||||
| C | 4 | \((n+1)^2\) |
(a) Complete the table. [5]
(b)(i) Find the eighth term of A. [1]
(b)(ii) Find the twelfth term of C. [1]
(c)(i) Which term of A equals 15 625? [1]
(c)(ii) Which term of C equals 10 000? [1]
| Sequence | 1st | 2nd | 3rd | 4th | 5th | nth |
|---|---|---|---|---|---|---|
| D | 5 | 16 | 39 | 80 | ||
| E | 0 | 1 | 4 | 9 |
(d) Use the sequences in (a) to find the fifth and nth terms of D and E. [4]