Answer:
-59
Explanation:
Given the sequence:
[tex]3,1,-1,-3[/tex]• The first term, a=3
,• The common difference = 1-3=-2
The nth term of an arithmetic sequence is obtained using the formula:
[tex]a_n=a+(n-1)d[/tex]In this case: n=32
Therefore:
[tex]\begin{gathered} a_{32}=3+(32-1)(-2) \\ =3+(31)(-2) \\ =3+(-62) \\ =3-62 \\ a_{32}=-59 \end{gathered}[/tex]The 32nd term of the sequence is -59.