Answer:
A. - 6
Is the common difference
see the expressions below that prove so.
Step-by-step explanation:
The sequence shows -6 to each number is same as k-6 or even n-6
we use such letters to represent 1 value. Also the reason it is a negative number is because the numbers are decreasing within the sequence.
The nth expression is the first term equation shows -6n
and the number prior to 45 is 45+6 = 51
Put together this creates our nth term = -6n + 51
The next term is where we use the common difference also.
next nth term = (27) + (- 6) = 21 and so on proves it the 5th term
5th nth term = -6 x 5 +51 = 21
100th nth term = -6 x 100 +51 = -549
