Respuesta :
Answer:
6; 75/2
Step-by-step explanation:
nth term: 3n²/2
Second term: n=2
3(2²)/2 = 6
fifth term: n=5
3(5²)/2 = 75/2
Higher than 50:
3n²/2 > 50
3n² > 100
n² > 100/3
Since n is positive,
n > (100/3)^½
n > 5.7735
Since n is a natural number, n has to be atleast 6 for the number to be greater 50
[tex]\frac{3{n}^2}{2}\\\\2nd\hspace{1mm}term: \frac{3{(2)}^2}{2} = \frac{12}2 = 6\\\\5th\hspace{1mm}term: \frac{3{(5)}^2}{2} = \frac{75}{2} = 37.5\hspace{1mm}or\hspace{1mm}37\frac{1}{2}[/tex]