Thread: Recurrence Relation?

1. Recurrence Relation?

can u plz help me to solve recurrence relation?

$\displaystyle a_n = a_{n-1} + f(n)$ for $\displaystyle n \ge 1$ by substitution

&ge; is giving latex error.

2. Originally Posted by cu4mail
&ge; is giving latex error.
use \ge

3. Originally Posted by cu4mail
&ge; is giving latex error.
There seems to be a quirk in the implementation of HTML used by this forum. You can get the character ≥ in the LaTeX environment by typing \ge, \geq or (my preference) \geqslant. But if you want it in HTML, typing &ge; will not work. However, if you use the equivalent numerical character entity reference &#38;#8805; you will get the symbol ≥.

The same applies to any other HTML character. You can get it by specifying the numerical character entity reference, but not by using the (abbreviated) name of the character. So for example &infin; won't work, but &#38;#8734; comes out as ∞.

4. Thanks for help on using editor.

Anyone please help on solving the question?

5. Originally Posted by cu4mail
can u plz help me to solve recurrence relation?

$\displaystyle a_n = a_{n-1} + f(n)$ for $\displaystyle n \ge 1$ by substitution
$\displaystyle a_1 = a_0+f(1)$,
$\displaystyle a_2 = a_1+f(2) = a_0+f(1)+f(2)$,
$\displaystyle a_3 = a_2+f(3) = a_0+f(1)+f(2)+f(3)$,
...
$\displaystyle a_n = a_0+\sum_{k=1}^nf(k)$.

That's all you can say, unless you have further information about the function f.