I don’t understand apply to what?
Answer:
-3, -7, -23, -87, and -343
Step-by-step explanation:
Here, we're given that the sequence is
, where n indicates the nth term and n - 1 indicates the (n - 1)th term.
, so if we want to find
, we can say n = 2 and n - 1 = 1:

We continue to do this to find
and
:



Thus, the first 5 terms in the sequence are:
-3, -7, -23, -87, and -343
Hope this helps!
Answer:
Step-by-step explanation:
We are given that a and b are rational numbers where
and x is irrational number .
We have to prove a+bx is irrational number by contradiction.
Supposition:let a+bx is a rational number then it can be written in
form
where
where p and q are integers.
Proof:
After dividing p and q by common factor except 1 then we get

r and s are coprime therefore, there is no common factor of r and s except 1.
where r and s are integers.


When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.
Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.
Conclusion: a+bx is an irrational number.
Answer:
Step-by-step explanation:
If y is directly proportional to x, then the formula for that is a linear one:
y = kx, where k is the constant of proportionality. In our situation, if the pressure is directly proportional to the temp, then our formula is
P = kT. We need to find that value of k. Plug in what we have:
6 = k(440) so
k = .01363636 or as an equivalent fraction,

Now that have that value of k, we can use it in the formula again, this time with a different value for T to solve for P.
so
P = 5.181818 or as an equivalent fraction,
