Answer:
176
Step-by-step explanation:
We see that it is an arithmetic sequence since we are subtracting the same number to a term to get the next term. So 876 - 7 = 869 & 869 - 7 = 862.
So the common difference d is -7
and the first term, a is 876
The nth term of an arithmetic sequence is given by a + (n-1)d
where n would be 101, since we want to figure 101st term.
So:
[tex]a+(n-1)d\\876+(101-1)(-7)\\876+(100)(-7)\\=176[/tex]
Correct answer is the 2nd choice, 176
