Let the n-th term be called

We see that if we choose

then the other numbers follow the pattern

(see :

)
Hence the sequence will be
Answer:
To make f continuous at
,
should be defined 
Step-by-step explanation:
A function, let say
, is defined at
is continuous at 
If the limit of
as
approaches
is equal to the value of
at
.
Mathematically it is written as:
if

then
is continuous at
.
So from the above definition, we conclude that:
To make f continuous at
,
should be defined 
i.e.
if

then
is continuous at
.
Answer:
<u>option 1</u>
Step-by-step explanation:
The question is as shown in the attached figure.
From the figure, we can deduce that:
∠U ≅ ∠X and ∠W ≅ ∠Z and ∠V ≅ ∠Y
So, ΔUWV similar to ΔXZY
But it is required to know " How can the triangles be proven similar by the SSS similarity theorem? "
So, we need to prove the corresponding angles are proportion
With the help of the previous corresponding angles.
So, we need to show that the ratios
are equivalent.
So, the answer is <u>option 1</u>
The percent to 300 out of 12 is 144
Answer:
The equation for the price, as a function of time in hours is:
P(x) = 20*x for 0 ≤ x ≤ 2
P(x) = 40 + 10*(x - 2) for 2 ≤ x
Now, we want to evaluate this function in 40 mins.
we know that 1 hour = 60mins.
Then 40 mins = (40/60) hours = 0.67 hours.
Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:
P(0.67) = 20*0.67 = 13.4
So in 40 mins, the charge will be 13.4 pesos.