Question and Answer with Step-by-step explanation:
Find the 75th term of the arithmetic sequence 13 , 33 , 53 , . . .
[tex]a_{n}=a_{1}+d(n-1)[/tex]
[tex]a_{1}=13; d=33-13=20[/tex]
[tex]a_{n}=20n-7[/tex]
[tex]a_{75}=20(75)-7[/tex]
[tex]a_{75}=1500-7[/tex]
[tex]a_{75}=1493[/tex]
Therefore the 75th term of the arithmetic sequence is 1493.
