Question

Find the general term ($n^{th}$ term) and ${23}^{th}$ term of the sequence $3,1,-1,-3,..$

Answer 1

$3,1,-1,-3$

$=>a=3$

$=>d=1-3=-2$

$=>t_{23}=a(n-1)d$

$=3+(23-1)(-2)$

$=3+\left(22\right)(-2)$

$=>3-44=-41$

$=>t_n=3+(n-1)(-2)$

$=3-2n+2$

$=5-2n$