<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>
Answer:
Rick is correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
The above statements
Required
Complete the above statements
Considering the third statement in the question;
First, it should be noted that a circle is a full sector that measures 360 degrees
Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;
Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;
Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;
Hence, from the list of given options; fills the gap correctly
Answer:
Step-by-step explanation:Answer:
1cm = 50
2 cm = 50 x 2
3cm = 50 x 3
and the inverse:50m = 50/50 = 1cm
100m = 100/50 = 2cm
150m = 150/50 = 3cm
381m = 381/
Answer:
x=8 and y=21
Step-by-step explanation:
12x-28=7x+12 (the 2 angles are equivalent)
12x-7x=12+28
5x=40
x=8
9y-77 + 12x-28 =180 (the sum of those 2 angles is a flat angle (180°))
9y-77+12*8-28=180
9y=180+28+77-96
9y=189
y=21
