1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frutty [35]
2 years ago
14

The 4th term of a sequence is 8 and the 6th term is 18. The sequence is either arithmetic or geometric. Which of the following c

an not be the 7th term?
A -27
B -23
C 23
D 27
Mathematics
1 answer:
sammy [17]2 years ago
8 0

Answer:

23

Step-by-step explanation:

To solve this question I have used some formula.

1. Formula to find the value of term

x + (term number - 1) × {(greater term number - smaller term number) ÷ (greater term containing value) - (smaller term containing value)}

2. Formula to find the value of x given in 1st formula

x = value containing by term - (term number - 1) × {(value containing by greater term - value containing smaller term) ÷ (6-4)}

Here greater term number means the value containing by the greater term. In this question greater term is 6 which contain a value in it that is 18. So, greater term number in this question is 18. So, smaller term number means the smaller term containing a value in it or the number containing by the greater term.

4th term = 8

To find the value of 7th term first we need to find the value of x.

              x = 8 - (4 - 1) × {(18 - 8) ÷ (6 - 4)}

              x = 8 - 3 × (10 ÷ 2)

              x = 8 - 3 × 5

              x = 8 - 15

              x = -7

Now, to check whether the value of x is -7, I have find the 4th term by replacing x with -7 in the 1st formula.

              = -7 + (4 - 1) × {(18 - 8)} ÷ (6 - 4)

              = -7 + 3 × (10 ÷ 2)

              = -7 + 3 × 5

              = -7 + 15

              = <u>8</u>

Answer came 8 and its correct answer. So, the value of x is -7

I have also find the 6th term so you understand it more properly.

6th term = 18

              = -7 + (6 - 1) × [{(18 - 8)} ÷ (6 - 4)]

              = -7 + 5 × {(10 ÷ 2)}

              = -7 + 5 × 5

              = -7 + 25

              = <u>18</u>

Answer of 6th term is also correct.

I think now you know how to find the 7th term.

7th term = -7 + (7 - 1) × {(18 - 8) ÷ (6 - 4)

              = -7 + 6 × (10 ÷ 2)

              = -7 + 6 × 5

              = -7 + 30

              = <u>23</u>

If you think that I have made mistake anywhere or you did not understood my explanation than please ask me in comment or you can report this answer. But, before reporting please see carefully because, once any answer got reported you can't undo it.

You might be interested in
Determine the number of solutions, y=x+2 and x=-1
anyanavicka [17]

There is only one solution.

y = x+2

x = -1

Substitute x = -1  in y = x+2

y=-1+2

y = 1

We only get the single value of y and x so It's clear that there's only one solution.

4 0
3 years ago
How many pounds and ounces are in 95 ounces?
S_A_V [24]
There are 95 ounces and 5.9375 pounds.
4 0
3 years ago
The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?
elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

15x+7y=15

The given inequality is

15x+7y\geq 15

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

15(0)+7(-3)\geq 15

-21\geq 15

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

15(-3)+7(0)\geq 15

-45\geq 15

This statement is false, therefore option b is incorrect.

Check the point (3,3),

15(3)+7(3)\geq 15

66\geq 15

This statement is true, therefore option c is correct.

Check the point (-3,-3),

15(-3)+7(-3)\geq 15

-66\geq 15

This statement is false, therefore option d is incorrect.

7 0
3 years ago
What is the LCM of 8 and 9
dolphi86 [110]

72 I hope that helped

3 0
3 years ago
Read 2 more answers
The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.
andrew11 [14]

Answer:

1872

Step-by-step explanation:on edge

3 0
3 years ago
Other questions:
  • A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
    9·1 answer
  • Compare 5/4 and 9/10 describe two methods you could use to compare the fractions
    11·2 answers
  • Brock is training for a Crossfit competition. He began the training completing pull-ups and box jumps origanally, his training p
    12·1 answer
  • There are currently 20 members in the school's Ski Club and the dues are $10 per member. To encourage the recruiting of new memb
    11·1 answer
  • 1. Find the slope of the line containing (2,9) and (-1,5) 2. Find the slope of the line containing (4,4) and (-1,4)
    7·1 answer
  • What is the product 6* [4, -2, 1, 7, 3, 0]
    6·1 answer
  • Can u guys help me with this problem?
    8·1 answer
  • Shelly has a gift card for her favorite restaurant for $15. She wants to treat a group of her friends sandwiches at the restaura
    12·1 answer
  • If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction End
    7·1 answer
  • How do I do the distribution table and the proccess plss help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!