Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
We can write this as:
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
Then we have the inequality
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5
So, the correct answer is B, 5 hours
Answer:
f(2)=5
f(5)=33
Step-by-step explanation:
The given formula, that recursively defines the sequence is
When n=1, we obtain;
When n=2, we get:
When n=3,
When n=4
When n=5,
Answer:
37 (hope this helps :)
Step-by-step explanation:
8 slices per pizza
5 pizzas
8 * 5 = 40
40 - 3 = 37
37 slices of pizza were eaten. and 3 slices were not eaten
Answer:
Mika would be 84 meters ahead
Step-by-step explanation:
48/4= 12
12*3= 36
36+48=84
