Question

To get any term of the sequence of odd numbers (1,3,5,7, ...) in which n represents the position of the number in the sequence, we must use 2n-1, explain why this rule

Answer 1

We know that all APs follow the scheme:

$\boxed{a_n=a_1+(n-1)r}$ which is called Formula of the general term of the AP.

It is known that odd numbers form the AP where a1 = 1 and r = 2

Thus, by substituting :

$a_n=1+(n-1).2$
$a_n=1+2n-2$
$\boxed{a_n=2n-1}$