Answer:
225
Step-by-step explanation:
The sum of this series is given by the formula:
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where
S_n is the sum
a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)
n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)
d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)
<em>plugging in the info, we will get the sum:</em>
<em>![S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%5C%5CS_%7B15%7D%3D%5Cfrac%7B15%7D%7B2%7D%5B2%281%29%2B%2815-1%29%282%29%5D%5C%5C%3D225)
</em>
<em>The sum is 225</em>
The bottle will land about 11 out of the 17 times
hope i helped ( ಥـْـِـِـِـْಥ)
Answer:
11.7
Step-by-step explanation:
multiply RS by the scale factor to get R'S'
Answer:
(1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
Step-by-step explanation:
Moving from P to Q, we see that x increases by 6 and y increases by 3.
"Trisect" means "divide into three equal subintervals."
We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).
Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
This is a good question!!
