There can be various methods to solve an equation one of them is the iterative method.
Iterative methods involve repeating calculations to find the solution. You may keeps on repeat the calculations until you achieved the solution with the desired accuracy.
Steps:
Example:
Find the solution of the following equation accurately to 2 decimal places using the iterative method.
[Hint: the solution lies between 3 and 4]
x² + x - 17 = 0
In the recursive iteration method, you start off by assuming a solution (xₙ) put that value into the expression whatever solution (xₙ₊₁) you get put it back into the equation, and repeat it until you get your answer of desired accuracy.
Each iteration, in principle, gives you a more accurate answer.
Steps:
Example:
Find the solution of the following equation accurately to 3 decimal places using the recursive iterative method.
[Hint: the solution lies between 3 and 4]
x² + x - 17 = 0
Example of the sequence using iteration:
A sequence is defined by the rule uₙ₊₁ = 4uₙ - 2
a. i.
u₄ = 4 × u₃ - 2
= 4 × (4 × u₂ - 2) - 2
= 4 × (4 × 2 - 2) - 2
= 4 × (8 - 2) - 2
= 4 × 6 - 2 = 24 - 2 = 22
a. ii.
u₅ = 4 × u₄ - 2
= 4 × 22 - 2
= 88 - 2 = 86
The main topics in GCSE Maths are:
With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.
Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.
A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.
You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.
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