| Quiz | Iteration |
|---|---|
| Name | |
| Result | PASSED |
| Score | 13 / 15 (86.7%) |
| Passing score | 12 |
| Quiz took | 21 min 16 sec |
| Quiz finished at | 2025-02-14 17:28:01 |
U\mathrm{sin}g {x}_{n+1} = 2+ \frac{5}{{{x}_{n}}^{2}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = 2.5\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out the value of {x}_{4}
U\mathrm{sin}g {x}_{n+1} = \frac{5}{{{x}_{n}}^{2}+3}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = 1\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out the value of {x}_{4} Give your answer to 3 decimal places
U\mathrm{sin}g {x}_{n+1} = \frac{3}{{{x}_{n}}^{2}}+3\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = 3.2\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out the value of {x}_{5}
U\mathrm{sin}g {x}_{n+1} = \frac{3}{{{x}_{n}}^{2}}+3\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = 3.2\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out the value of {x}_{3} Give your answer to 5 decimal places
U\mathrm{sin}g {x}_{n+1} = \frac{1}{4} - \frac{{{x}_{n}}^{3}}{4}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = 0\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out the value of {x}_{5}
{x}^{3} - 3{x}^{2} + 3 = 0\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}can be rearranged to
{x}^{3} + 4x = 1\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}can be rearranged to
The number of squirrels in a field d days from now is Pd where P0 = 400 Pd+1 = 1.2(Pd - 15) Use a calculator to work out the number of squirrels in the field three days from now, rounding your answer to the nearest whole number.
The number of people living in a village y years from now is Py where P0 = 6000 Py+1 = 1.05(Py - 200) Use a calculator to work out the number of people living in the village three years from now.
x3 + 4x = 1 has a solution between which two integers?
{3x}^{3} - 2x - 6 = 0\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}can be rearranged to
x3 - 6x - 5 has a solution between which two integers?
2{x}^{3}-{x}^{2 }-3 = 0\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}can be rearranged to
U\mathrm{sin}g {x}_{n+1} = \sqrt{\frac{3}{2{x}_{n}-1}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = 1\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out the value of {x}_{4}
U\mathrm{sin}g {x}_{n+1} = \frac{\left({x}_{n}{\right)}^{3}-3}{8}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}With {x}_{0} = -1\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Use a calculator to work out a solution correct to 6 decimal places.