What is the explicit equation best models the situation: 10.3, 9.6, 8.9, 8.2, ...
its x sub n = x sub (n-1) - .7 with x sub (n-1) equaling the term preceding x sub n
ur welcome :)
wait, so the answer is t(n)=-0.7n+10.3?
or is it t(n)=-0.7n-11?
second, assuming n starts at 0, not 1, which it's normally 1
ur welcome :)
oops meant *1, not 0
To find the explicit equation that best models a sequence of numbers, we can first identify the pattern or rule behind the sequence.
From the given sequence, we can notice that each number is decreasing by 0.7. Therefore, we can write the general formula for the nth term of the sequence as follows:
a_n = a_1 - (n - 1) * d
Where:
- a_n represents the nth term in the sequence
- a_1 represents the first term in the sequence
- n represents the position of the term in the sequence
- d represents the common difference between each term
In this case, a_1 = 10.3 and d = 0.7. Substituting these values into the formula, we can find the explicit equation that best models the sequence:
a_n = 10.3 - (n - 1) * 0.7
So, the explicit equation that best models the given sequence is a_n = 10.3 - 0.7(n - 1).