MATHEMATICS HIGH SCHOOL

8;18;30;44;.... calculate the nth term of the sequence

Answers

Answer 1
Answer:

The nth term of the sequence will be Tn = n^2 + 7n

How to calculate the nth term of a sequence

Given the sequence of numbers expressed as:

8;18;30;44;

Their common difference will form an A P as shown:

10, 12, 14...

Next term  = preceding term  + 2

Next term = 14 + 2

Next term = 16

The next term of the squence will be 44 + 16 = 60

The nth term of the sequence will be Tn = n^2 + 7n

Learn more on nth term here: brainly.com/question/7882626
Answer 2
Answer: Hello,

a(1)=8
a(2)=18=8+10=8+8+2=2*8+2=2*8+2*(2-1)
a(3)=30=18+12=2*8+2*(2-1)+8+2*(3-1)=3*8+2(1+2)
a(4)=44=a(3)+14=3*8+2(1+2)+8+2(4-1)=4*8+2(1+2+3)....

a(n)=n*8+2(1+2+3+...+(n-1))
= 8n+2*n*(n-1)/2)=8n+n(n-1)=n²+7n

\boxed{a_(n)= n^2+7n}

n=1=>1²+7*1=8
n=2=>2²+7*2=4+14=18
n=3=>3²+7*3=9+21=30
n=4=>4²+7*4=16+28=44
...

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Answers

Answer:

Solve using the information below.

Step-by-step explanation:

So try, to multiple the one of the answer by the 5 and then 2 to the square root (sign) times that product of the answer choice times five and then divide it with s aka 90


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Which best describes the solution set for the compound inequality below? (pick the best answer)2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7
A. no solution
B. x = 1
C. all real numbers except x = 1
D. all real numbers

Answers

2(x + 7) - 1 > 15                 3(x + 2) < 2x + 7
2x + 14 - 1 > 15                  3x + 6 < 2x + 7
2x + 13 > 15                       3x - 2x < 7 - 6
2x > 15 - 13                        x < 1
2x > 2
x > 2/2
x > 1

so, x > 1 OR x < 1.....all real numbers except 1

Answer:

C is your answer

Step-by-step explanation:

A student was investigating how many students in their class share a car ride to school.The table shows the results.
If 26 students travel by car, and some student travel together, answer the following.

(a) What is the missing frequency?
(b) What is the mean number of students in each car?


Number of students in one car Number of cars
1 n
2 7
3 3

Answers

If 26 students were riding, then the missing frequency for the number of cars for each student. Because:

2x7 = 14
+
3x3 =9 
=
23 students. Therefore there were 3 cars with only 1 student riding in each car. 

The mean number of students in each car is 2. Because:

mean for 3 cars = 1
mean for 7 cars = 2
mean for 3 cars = 3

Add it all up and divide by 3 means yields 2. 

5 + 3 + 52 × 5 − 2 =

Answers

Answer:

164 With the parenthesis

266 without parenthesis

I dont understand how to do these three questions

Answers

9.
Well the first has the angles being 3x+12,x,and 90 so they have to add up to 180 degrees because it is a triangle.
3x+12+x+90 = 4x+102 = 180 solve
4x+102=180
4x=78
x=19.5

Scores on the wechsler adult intelligence scale (wais) approximate a normal curve with a mean of 100 and a standard deviation of 15. what proportion of iq scores are below 82

Answers

100-15-3=82 that would be the answer
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