Answer:
A 1 1/2 miles per hour
Step-by-step explanation:
Take the amount of miles he can row in 1/4 of an hour (3/8) and multiply it by 4, since it will tell you how many miles he can row in one hour. You get 12/8 miles per hour, which simplifies to 1 1/2 miles per hour
Hopefully this helps - let me know if you have any questions!
Answer:
12.5%
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
Given:
In an arithmetic sequence,
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
![a_i=a_{i-1}-3](https://tex.z-dn.net/?f=a_i%3Da_%7Bi-1%7D-3)
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
...(i)
Where, d is the common difference.
We have,
...(ii)
On comparing (i) and (ii), we get
![d=-3](https://tex.z-dn.net/?f=d%3D-3)
The sum of first i terms of an arithmetic sequence is:
![S_i=\dfrac{i}{2}[2a+(i-1)d]](https://tex.z-dn.net/?f=S_i%3D%5Cdfrac%7Bi%7D%7B2%7D%5B2a%2B%28i-1%29d%5D)
Putting
, we get
![S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)]](https://tex.z-dn.net/?f=S_%7B335%7D%3D%5Cdfrac%7B335%7D%7B2%7D%5B2%282%29%2B%28335-1%29%28-3%29%5D)
![S_{335}=\dfrac{335}{2}[4+(334)(-3)]](https://tex.z-dn.net/?f=S_%7B335%7D%3D%5Cdfrac%7B335%7D%7B2%7D%5B4%2B%28334%29%28-3%29%5D)
![S_{335}=\dfrac{335}{2}[4-1002]](https://tex.z-dn.net/?f=S_%7B335%7D%3D%5Cdfrac%7B335%7D%7B2%7D%5B4-1002%5D)
![S_{335}=\dfrac{335}{2}(-998)](https://tex.z-dn.net/?f=S_%7B335%7D%3D%5Cdfrac%7B335%7D%7B2%7D%28-998%29)
On further simplification, we get
![S_{335}=335\times (-499)](https://tex.z-dn.net/?f=S_%7B335%7D%3D335%5Ctimes%20%28-499%29)
![S_{335}=-167165](https://tex.z-dn.net/?f=S_%7B335%7D%3D-167165)
Therefore, the sum of the first 335 terms in the given sequence is -167165.