A-LevelMathematicsNumerical methods9709/31 · Oct/Nov 2024 · Q57 Marks
Use the iterative formula x_n+1 = exp(2+e-0.2x_n) - 1 to determine the root correct to 2 decimal places. Give the result of each iteration to 4 decimal places. [exp(x) is an alternative notation for eˣ.]
- (c)Use the iterative formula x_n+1 = exp(2+e-0.2x_n) - 1 to determine the root correct to 2 decimal places. Give the result of each iteration to 4 decimal places. [exp(x) is an alternative notation for eˣ.][3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [M1] Use the iterative process correctly at least once I.e., obtain one value and substitute that value back into the formula.
- [A1] Obtain final answer 8.03
- [A1] Show sufficient iterations to at least 4 decimal places to justify 8.03 to 2 decimal places, or show that there is a sign change in the interval (8.025,8.035) E.g. 7, 8.4555, 7.8846, 8.0849, 8.0115, 8.0380, 8.0283, 8.0318 8, 8.0421, 8.0268, 8.0324, 9, 7.7172, 8.1490, 7.9887, 8.0463, 8.0253, 8.0329
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →