Answer:
B. No
Explanation:
The formula of a number pattern with a common difference is Tn= a +d(n-1), where a is the first term and d is the common difference.
Notice that the numbers decrease by 4 from the previous term. Hence the common difference is -4 in this case.
Tn= 22 -4(n-1)
Tn= 22 -4n +4
Tn= 26 -4n
Let's check to see if the formula is right.
When n=2,
T2= 26 -4(2)
T2= 18
This is correct as the 2nd term in the sequence is 18.
If the number is in the sequence, n would be a whole number since nth term cannot be a fraction/ decimal etc.
When Tn= -204,
-204= 26 -4n
4n= 204 +26
4n= 230
n= 230 ÷4
n= 57.5
Since n is not a whole number, -204 is not in the sequence.