Answer:

Step-by-step explanation:
Given that,
The sum of first n term of a sequence is
We need to find the sum of the first 5 terms.
Put n = 5,

So, the sum of first 5 terms is equal to
.
Answer:
In a system, there are two linear inequalities. The solution to the system is all the points that satisfy both inequalities or the region in which the shading overlaps. Given the system of linear inequalities shown in the graph, let's determine which points are solutions to the system.
Hope this Helped!!!!!:)
Step-by-step explanation:
Use this equation: Amount after years=Initial investment*(1+Interest rate/time compounded yearly)^number of years*times compounded yearly
So A=25,000(1+.095/1)^8*1
Simplify
A=25000(1.095)^8
Simplify
A=25000(2.07)
Solve
A=$51,671.73
This equation can be used for all problems of this type.
Answer:

Step-by-step explanation:
<u>Geometric Sequence</u>
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:

Where a1=48 and r=1.5

For example, to find the 5th term:

Answer:
P-value = 0.1515
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 2.2
Sample mean,
= 2
Sample size, n = 52
Alpha, α = 0.05
Population standard deviation, σ = 1.4
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value from the normal standard table.
P-value = 0.1515