0580 P41 - Nov 2019 - Q10 - 16 marks
13914
Complete each 5th term and nth term.
| 1st | 2nd | 3rd | 4th | 5th | nth |
|---|---|---|---|---|---|
| 9 | 5 | 1 | -3 | … | … |
| 4 | 9 | 16 | 25 | … | … |
| 1 | 8 | 27 | 64 | … | … |
| 8 | 16 | 32 | 64 | … | … |
(a) Complete the table. [11]
After the first two terms, a Fibonacci sequence adds the two previous terms to obtain the next.
| 1st | 2nd | 3rd | 4th | 5th |
|---|---|---|---|---|
| 2 | 4 | … | … | … |
| 1 | … | … | … | 11 |
| … | -1 | … | … | 1 |
(b) Complete the three sequences. [3]
Consider \(\frac13,\frac34,\frac47,\frac7{11},\frac{11}{18},\ldots\).
(c(i)) One term is p/q. Find the next in terms of p and q. [1]
(c(ii)) Find the 6th term. [1]
