Answer:
100th term = -1485
Step-by-step explanation:
Arithmetic Progressionthe
nth term, Tn:
[tex]t_{n} = a + (n - 1)d[/tex]
n = number of terms
= 100
a = first term
= 5
d = difference
= second term - first term
= 2 - 5
= -3
substitute the values into the formula
[tex]t_{100} = 5(100 - 1)( - 3)[/tex]
[tex]t_{100} = 5(99)( - 3)[/tex]
[tex]t_{100} = 495( - 3)[/tex]
[tex]t_{100} = - 1485[/tex]
