![\boxed{a_{n}=-3+8(n-1)}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7Bn%7D%3D-3%2B8%28n-1%29%7D)
<h2>
Explanation:</h2>
The explicit formula for the general nth term of the arithmetic sequence is given by:
![a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2Bd%28n-1%29%20%5C%5C%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20a_%7Bn%7D%3Anth%20%5C%20term%20%5C%5C%20%5C%5C%20n%3ANumber%20%5C%20of%20%5C%20terms%20%5C%5C%20%5C%5C%20a_%7B1%7D%3AFirst%20%5C%20term%20%5C%5C%20%5C%5C%20d%3Acommon%20%5C%20difference)
Here we know that:
![a_{1}=-3 \\ \\ a_{10}=69](https://tex.z-dn.net/?f=a_%7B1%7D%3D-3%20%5C%5C%20%5C%5C%20a_%7B10%7D%3D69)
So, our goal is to find the common difference substituting into the formula:
![a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8](https://tex.z-dn.net/?f=a_%7B10%7D%3Da_%7B1%7D%2Bd%2810-1%29%20%5C%5C%20%5C%5C%2069%3D-3%2Bd%289%29%20%5C%5C%20%5C%5C%20Solving%20%5C%20for%20%5C%20d%3A%20%5C%5C%20%5C%5C%209d%3D69%2B3%20%5C%5C%20%5C%5C%209d%3D72%20%5C%5C%20%5C%5C%20d%3D8)
Finally, we can write the explicit formula as:
![\boxed{a_{n}=-3+8(n-1)}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7Bn%7D%3D-3%2B8%28n-1%29%7D)
<h2>Learn more:</h2>
Geometric series: brainly.com/question/1509142
#LearnWithBrainly
Given : f(x) = 3x + 1
We get f(2) by substituting x = 2 in the given Function
⇒ f(2) = 3(2) + 1
⇒ f(2) = 6 + 1 = 7
Option C is the Answer
Answer:
mark
Step-by-step explanation:
Mark lives closer because 0.25 is less than 0.4
on the number line 0.25 is before 0.4
0.000038 = 3.8e-5 = 3.8×10⁻⁵
Answer:
interest
Step-by-step explanation:
you need to pay the bank interest because the bank needs to make money too, just like everyone