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].
Answer:
11 + n
Step-by-step explanation:
sum means addition, so u need a + sign
n is usually the variable used for 'a number'
so 11 and (+) a number (n) = 11+ n
hope this helps!
Answer:
(2,5) instead of rotating 270 degrees you could rotate 90 degrees clockwise the figure is going to end up in quadrant 1 and the numbers stay the same put become positive
Step-by-step explanation:
Answer:
y=0.75x + 1.25
Step-by-step explanation:
You just need to isolate y by transferring all the numbers to the other side of the equation (& the numbers with x)
Glad to help
Answer:
= 9000³
Step-by-step explanation:
*Volume of the bigger box :-
20 × 20 × 20 = 8000
*Volume of the smaller box :-
10 × 10 × 10 = 1000
Therefore, volume of the aquarium :-
= 8000 + 1000 = 9000³
