I can’t see it but if I had to say it would be D.
Answer:
12
Step-by-step explanation:
thats th answer hope its right
3^10/ 3^-2
3^12
good luckkkk
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.
A. T= d/r
A good way to remember this is by making a pyramid with 3 parts and putting distance at the top and rate and time in the other two parts. This way you can visibly see the equation and use it if you need to find one for rate.
B. It's reasonable to write distance as a positive number because distance is always positive. You are not able to have a negative distance. Imagine someone standing on a side walk. Even if they are not moving, their distance is 0 which is positive. If they move backwards or forwards, their distance is still positive because it is more than that 0 and they are gaining something.
C. Just plug in the numbers into the formula.
T= d/r
T= 32.12 m /<span>8.8 m/min
T= 3.65 min
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