This video gives an explanation of how to work with GCSE mathematics iteration type questions, sometimes called ‘iterative formula.' They can be extremely wordy … but should be absolutely fine once you get the general idea. I'll post some additional videos, with similar questions, in the next few days.
(a) Show that when f(x) = 0, the equation f(x) = x³ – 7x + 2 can be rearranged to give x= ∛(7x – 2)
(b) Use the iterative formula, with x° = -2.4, to find the real root of f(x) correct to 3 decimal places.
I hope it becomes a little clearer as you work through the GCSE mathematics iteration questions, before moving on to the higher levels. They do take a bit of a leap forward, although should be OK if you have viewed the earlier ones.
If you would like to find out more try these!
Please do leave a comment below if you are not sure. Alternately you can view my YouTube channel and leave a comment there – I'll always try to respond as quickly as possible.