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
Varvara68 [4.7K]
3 years ago
5

The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

21d = 12

d = 12/21

d = 4/7

The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

n = 32/4

n = 8

You might be interested in
What does x equal in this equation<br><br>1/4(x-16)=3/4(x+20)?<br>​
erma4kov [3.2K]

Answer:

1/4x - 4 = 3/4x - 15

-1/2x - 4 = -15

-1/2x = -11

x = 22

6 0
3 years ago
Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?
tresset_1 [31]
Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15
4 0
3 years ago
Distribute -(-4v+6.3w-9.8)
Firdavs [7]

Answer:

4v-6.3w+9.8

Step-by-step explanation:

If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))

Basically it's switching the signs

Hope that helped :)

3 0
3 years ago
A coffe table is on sale for 20% off the orgingial price of $115. If there is 7.5% sales tax, what is the original price of the
Anuta_ua [19.1K]

Answer: 98.90

Step-by-step explanation:

115*.2=23

115-23=92

0.075*92=6.9

6.90+92=$98.90

3 0
3 years ago
Where is the hole for the following function located f(x)= x+3/(x-4)(x+3)
Marizza181 [45]
In a rational function, holes are located where f(x) is undefined(the denominator is 0), but the undefined points can be factored out. In f(x), when x is 4 or -3, f(x) is undefined. But, x+3 can be factored out, so it is a hole. The hole is located at (-3,-1/7)
6 0
3 years ago
Read 2 more answers
Other questions:
  • 9. 8x3y2 – 7x2y + 8x + 4- 6x3y2 + 2x²y + 4x²y – 3x + 5
    13·1 answer
  • What division statements have a quotient of 20
    5·1 answer
  • How much is 2.billion in fraction form
    10·2 answers
  • Pamelas age is two times jiris age the sum of their ages is 33 what is jiris age?
    6·1 answer
  • (889x27)+50 is_____than 889x27
    9·1 answer
  • What is 23.45 less than 56.004?
    9·1 answer
  • Im failing pls help !!!!!
    11·2 answers
  • Penni is making a mosaico pattern with 2-inch square tiles. The area she wants to cover is 8 inches by 4 inches. How many tiles
    8·1 answer
  • The Jackson family borrowed $240,000 to purchase a house and, over thirty years they had to repay 250% of what they borrowed. Wh
    13·1 answer
  • Can someone pleaseeee help and if you’re correct i’ll give brainliest
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!