Find a formula for the nth term in this

Mathematics

1 answer:

stepan [7]10 months ago

3 0

The formula of nth term is = 10 - 3n

What is AP?

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
If the AP contains m phrases, then denotes the final term, which is given by:
The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

Acc to our question-

For the nth term in an algebraic series
U(n) = a + (n - 1)d
the number of terms is n.
The first term is a.
d is the typical difference
From the preceding sequence
a = 7
d = 4 - 7 = - 3
The nth term's formula is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
The ultimate solution is
= 10 - 3n

Hence,The formula of nth term is = 10 - 3n

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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.

Vladimir [108]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: