What is the explicit rule for the sequence 10.5, 9, 7.5, 6, 4.5(1 point)
Responses
an=10.5−1.5(n−1)
A sub n is equal to 10 point 5 minus 1 point 5 times open paren n minus 1 close paren
an=1.5−10.5(n−1)
A sub n is equal to 1 point 5 minus 10 point 5 times open paren n minus 1 close paren
an=10.5+1.5(n−1)
A sub n is equal to 10 point 5 plus 1 point 5 times open paren n minus 1 close paren
an=1.5+10.5(n−1)
A sub n is equal to 1 point 5 plus 10 point 5 times open paren n minus 1 close paren
A sub n is equal to 1 point 5 plus 10 point 5 times open paren n minus 1 close paren.
To find the explicit rule for a sequence, we need to determine how the terms are related to each other. In this case, the sequence is decreasing by 1.5 each time.
We can find the explicit rule by considering the first term of the sequence and the common difference between consecutive terms.
The first term of the sequence is 10.5.
The common difference between consecutive terms is -1.5 (since the sequence is decreasing).
Using this information, we can construct the explicit rule for the sequence.
The explicit rule for this sequence is:
an = 10.5 - 1.5(n - 1)
Alternatively, we can write it as:
A sub n is equal to 10.5 minus 1.5 times open paren n minus 1 close paren.
So, the correct answer is:
an = 10.5 - 1.5(n - 1)