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# Basic iteration help please watch

1. Having a bit of a moment and can't remember how to do the simplest of questions in Core 3 😭😭😭 could anyone help out with 7a? I've been looking at it for too long and it's become gibberish to me at this point. The answer in the back is exactly 2.218. I've tried finding L (which I'd imagine is what it's asking me to do but then again I'm having a brainfart moment so idk) but no success. Please show me the light lol, thank you 👍🏻

2. Put 2 into the equation on the RHS for your initial iteration, then you replace the 2 value you get in the eqaution and you carry on going untill you have at least two answers that agree to 3 d.p, you then say that gamma is this root correct to 3 d.p
3. on your calculator type in 2 =

then type

2(1 + e-ANS )

then keep pressing =
4. (Original post by drandy76)
Put 2 into the equation on the RHS for your initial iteration, then you replace the 2 value you get in the eqaution and you carry on going untill you have at least two answers that agree to 3 d.p, you then say that gamma is this root correct to 3 d.p
(Original post by the bear)
on your calculator type in 2 =then type2(1 + e-ANS )then keep pressing =
It's asking for the number the formula converges to and to show that is exact to 3dp, not to use the iteration to show that it's close to it
5. (Original post by yasaminO_o)
It's asking for the number the formula converges to and to show that is exact to 3dp, not to use the iteration to show that it's close to it
The way you do that is by computing successive iterations such that after a few iterations, the number is the same to 3d.p in which case this shows that the formula converges to whatever you calculator shows exact to 3d.p.
6. 2.217715106

thank you
7. (Original post by Zacken)
The way you do that is by computing successive iterations such that after a few iterations, the number is the same to 3d.p in which case this shows that the formula converges to whatever you calculator shows exact to 3d.p.
Is that it? Have I been overcomplicating it the whole time?? 😭 Is there no other way to find the limit?
8. (Original post by yasaminO_o)
Is that it?
Yes.

Have I been overcomplicating it the whole time??
Yes.

😭 Is there no other way to find the limit?
There is; none that would be available at your level, however.

You literally just need to find x_1, x_2, x_3, ... till your successive to 3 d.p and then conclude "all iterations are the same to 3 d.p, hence the root converges to this 2.1blah blah to 3 d.p".
9. (Original post by Zacken)
Yes.

Yes.

There is; none that would be available at your level, however.

You literally just need to find x_1, x_2, x_3, ... till your successive to 3 d.p and then conclude "all iterations are the same to 3 d.p, hence the root converges to this 2.1blah blah to 3 d.p".
I see. That's not a very satisfying method, but thanks for clarifying it for me
10. (Original post by yasaminO_o)
I see. That's not a very satisfying method, but thanks for clarifying it for me
Numerical methods at A-Level will be generally unsatisfying. No problem.

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