<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
Step-by-step explanation:
60% = 18 +
20% = 6 ( cos its 1/3)+
20% = 6 =
100% = 30
A proportion is two ratios equivalent to each other
Answer:
72π feet
Step-by-step explanation:
circumference of circle= 2πr
Diameter= 2(radius)
radius of circle
= 72 ÷2
= 36 ft
Circumference
= 2(π)(36)
= 72π ft
Answer:
H
Step-by-step explanation:
The table uses the domain -0.2 twice, but got different ranges both times, therefore meaning that this is not a function.