Answer:
the bill is $3.74
the tip is 0.74
Step-by-step explanation:
From this sequence we can see that it is betting larger by 5 every single time.
So we can infer that the n = 5.
But we also have to add a number after that because right now the sequence would be 5,10,15,20. We need to find out how we get to 2 from 5n.*
*2 is the first number in the sequence
And to get 2 from 5 you simply subtract the number 5 by 3. So you end up with 5n - 3
Now that you have the nth term just substitute the term you want to find out so in this instance it is 40. 40 * 5 = 200 and then you take away 3 so It the answer must be 197. Hope this helps
The reason that this represent in Mikal’s proof regarding the triangle is SAS.
<h3>How to illustrate the triangle?</h3>
It should be noted that a triangle is a shape that has three sides and angles.
The SAS implies the side angle side. It shows that any two sides and angles that are included between the sides of an angle are equal to the other two sides.
Learn more about triangles on:
brainly.com/question/1058720
#SPJ1
Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
So 2x=3/4
x=3/4/2
x=3/2
The answer is the last one