Question

ANSWER THIS PLEASSSSSSSSSS

Answer 1

First check the difference between terms:

$\{1-(-3),5-1,9-5,\ldots\}=\{4,4,4,\ldots\}$

So every term differs by 4. The first term in the sequence is $a_1=-3$. Recursively, the sequence is given by

$\begin{cases}a_1=-3\\a_n=a_{n-1}+4&\text{for }n>1\end{cases}$

Then

$a_2=a_1+4$

$a_3=a_2+4=a_1+4(2)$

$a_4=a_3+4=a_1+4(3)$

and so on, with the general rule

$a_n=a_1+4(n-1)\implies a_n=4n-7$

Then the 250th term of the sequence would be

$a_{250}=4(250)-7=993$