Answer:
43rd term is - 1034
Step-by-step explanation:
The sequence is arithmetic and has a common difference d = -27.
d is found by finding 73 - 100 = 46 - 73 = 19 -46 = -27
Now use the formula
[tex]a_{n} = a_{1} + (n - 1)d[/tex] The first term is 100 and n = 43 in your problem
[tex]a_{43}[/tex] = 100 + (43 - 1)(-27)
= 100 + 42(-27)
= 100 - 1134
= -1034
