Answer:
157 is the 24th term
Step-by-step explanation:
The formula for arithmetic sequences is an=a1+(n-1)d,
where an is the nth term, a1 is the first term, n is the term position, and d is the common difference
First, we need to find the common difference using the 10.
Since it's the third term, we have 10=-4+(3-1)d
Solving for d gives us d=7
Next, we need to find the term number of 157
Thus, we have 157=-4+(n-1)*7
Solving for n gives us n=24
We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157
