Answer:
Explicit:
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
Step-by-step explanation:
1, 5, 25, 125...
1, 1×5 = 5, 5×5 = 25, 25×5 = 125..
It is a Geometric sequence with:
First term: 1
Common ratio: 5
Nth term of a Geometric sequence is:
a(n) = a(1) × r^(n-1),
Where a(1) is the first term and r is the common ratio.
Therefore,
a(n) = 1 × 5^(n-1)
a(n) = 5^n × 5^-1
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
Answer:
The answer is 7/9
Step-by-step explanation:
Had this on my quiz one time
Answer:
Answer d (student needed to add the b value)
Step-by-step explanation:
I got it right
Answer:
0
Step-by-step explanation:
From your problem, we have to extract the information that are important from the first two intregrals so we can solve the double integral.

We also have that:

---------------------------------
With this, now we can solve the double integral.
Since the limits of integration are constant, i can use dA both as dydx or dxdy. I am going to use dydx.
So the double integral will be:

We solve a double integral from the inside to the outside, so the first integral we solve is:

f is a function of x and we are integrating dy, so this means that f is a constant. Our integral now is this:

From above, we have that

So,

Now we have to solve the outside integral:

We know that

So the double integral will be 0
Answer:
-189
Step-by-step explanation:
If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term