-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer 1

Answer:

Answer:

$\boxed {a_(24) = - 70}$

Step-by-step explanation:

According to the following pattern sequence ( $-1, -4, -7, -10$ ), it is Arithmetic Sequence, because every negative number is subtracted by $3$ . So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

$a_(n) = a_(1) + (n - 1) d$

$a_(n)$ : nth term in the sequence

$a_(1)$ : 1st term

$n$ : term position

$d$ : Common difference

-Apply to the formula:

$a_(24) = -1 - 3 (24 - 1)$

$a_(n) = a_(24)$

$a_(1) = -1$

$n = 24$

$d = -3$

-Solve:

$a_(24) = -1 - 3 (24 - 1)$

$a_(24) = -1 - 3 (23)$

$a_(24) = -1 - 69$

$\boxed {a_(24) = - 70}$

Therefore, the 24th term is $-70$ .

Answer 2

Answer:

Final answer:

The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.

Explanation:

To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).

So, the nth term formula for this sequence would be

nth term = -1 + (n-1)(-3)

To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.

Learn more about Arithmetic sequence here:

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Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list.)x2 − 6x − 27 = 0

Answers

$x^2 - 6x - 27 = 0 \n \na=1, \ b=-6 , \ c= -27 \n \n \Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot (-27) = 36+108 =144 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(6-√(144))/(2 )=( 6-12)/(2)=(-6)/(2)=-3 \n \nx_(2)=(-b+√(\Delta ))/(2a)= (6+√(144))/(2 )=( 6+12)/(2)= (18)/(2)=9 \n \n \n Answer : \ x= -3 \ \ or \ \ x= 9$

Find the three geometric means between 15 and 1215.

Answers

Hello,

g_m(15,1215)=√(5*1215)=9√15≈77,942286340....
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Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the school ride threr bikes to school?

Answers

Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T.

-8m + 7n - 3
-8m - 7n - 3
8m + 7n - 3
8m - 7n - 3

Answers

If you would like to simplify Q + S - T, you can do this using the following steps:

Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8

Q + S - T = 7m + 3n + n + 5 - (-m - 3n + 8) = 7m + 3n + n + 5 + m + 3n - 8 = 8m + 7n - 3

The correct result would be 8m + 7n - 3.

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

In this problem, the mean salary is equal to $37,500 while the maximum salary is $4500 more than the mean and the mnimum salary is $4500 less than the mean salary. This means the equation that represents the salaries is |x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

its A

Step-by-step explanation:

The sum of all of the solutions for the equation (6x+k)(3x-11)=0 is 1. What is the value of k?

Answers

Answer:

-6x

Step-by-step explanation:

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