It would be c.8.6291036592g/ml
Answer:
23
Step-by-step explanation:
By keenly investigating the given sequence, it is evident that is an arithmetic sequence with a common difference (d) of -5. To solve for the sum (S) (also called arithmetic series),
Sn = (n/2) x (2a1 + (n - 1) x d)
where n is 5 and a1 is 35. Substituting the given known values,
S5 = (5/2) x (2 x 35 + (5 -1) x -5) = 125
Thus, the sum of the first five terms is 125.
Answer:
There will be 5 kilometers between each rest stop
Step-by-step explanation:
Ok, so there are two rest stops at the start and end of the trail. This means that the sum of the distances of the rest stops must equal 20 kilometers.
If you can imagine a number line being split by 3 lines, it makes four segments.
We can't solve this using
because that would mean one of the three rest stops is at the end of the hike
So,
![4D = 20\\D = 5\\](https://tex.z-dn.net/?f=4D%20%3D%2020%5C%5CD%20%3D%205%5C%5C)
We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.
We will see that the sum tends to infinity.
So we have 5 terms;
A, B, C, D, E.
We know that the sum of each term and its neighboring terms is 15 or 25.
then:
- A + B + C = 15 or 25
- B + C + D = 15 or 25
- C + D + E = 15 or 25
Now, we want to find the sum of all the terms in the sequence (not only the 5 given).
Then let's assume we write the sum of infinite terms as:
![a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + ...](https://tex.z-dn.net/?f=a_1%20%2B%20a_2%20%2B%20a_3%20%2B%20a_4%20%2B%20a_5%20%2B%20a_6%20%2B%20...)
Now we group that sum in pairs of 3 consecutive terms, so we get:
![(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ...](https://tex.z-dn.net/?f=%28a_1%20%2B%20a_2%20%2B%20a_3%29%20%2B%20%28a_4%20%2B%20a_5%20%2B%20a_6%29%20%2B%20...)
So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.
Then we have:
![(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ... \to \infty](https://tex.z-dn.net/?f=%28a_1%20%2B%20a_2%20%2B%20a_3%29%20%2B%20%28a_4%20%2B%20a_5%20%2B%20a_6%29%20%2B%20%20...%20%5Cto%20%5Cinfty)
If you want to learn more, you can read:
brainly.com/question/21885715