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
A + (b-4) when a-24 and b-7
lara31 [8.8K]

Answer:

a=24

b=7

now

24+(7-4)

24+3

27

so the answer is 27

5 0
3 years ago
Help!!! Now!!! Limited time!!
hammer [34]

Answer: 3

Step-by-step explanation: y=-2, also y=-2x+4. Therefore, we got a equation: -2=-2x+4. You then minus 4 from both sides of the equation and you will get -6=-2x. You then solve for x by dividing -6 by -2, you get x=3

6 0
3 years ago
A cone is filled to a height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height an
Tasya [4]
Answer: 1 inch

Volume of the cylinder = πr²h

Volume of the cone = 1/3πr²h

If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone. 

Height = 1/3 x 3 inches 
Height = 1 inch

----------------------------------------------------------------------------------------
Answer: The height of the cylinder will be 1 inch.
----------------------------------------------------------------------------------------
3 0
3 years ago
A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the vo
3241004551 [841]

Answer:

144 units. Hope this helps!

4 0
3 years ago
Solve for x 1/3(3x + 9) =60​
juin [17]

Congrats on your first question!

Answer: x=57

///////////////////////////////////////////////////////////////////////////////////////////////////////

1/3(3x+9)=60

x+3=60

x=57

4 0
3 years ago
Read 2 more answers
Other questions:
  • Popcorn was donated for the school fair by 3 different popcorn vendors they donated a total of 636 bags of popcorn each vendor d
    15·1 answer
  • Does the function f(x) = x^3-4x^2+2x-6/x-3 have a slant asymptote? If so, find an equation of the slant asymptote. If not, expla
    5·1 answer
  • What is the x-value of the vertex?<br><br> f(x)=(x+2)^2−1<br><br> x-value of the vertex:
    8·1 answer
  • A circle has a circumference of 7,850 units. What is the radius of the circle?
    8·1 answer
  • Cynthia typed 372 words in 6 minutes what's her typing rate in words per minute
    15·1 answer
  • Write the equation of the line in either point-slope form or slope-intercept form.
    7·2 answers
  • A cupboard is 1.5 m wide,30cm deep and 120 cm high. Find its volume in m3
    7·2 answers
  • Simplify the following expression<br> by combining like terms.
    6·1 answer
  • (y−2)=3(x−1) whats the slope
    9·1 answer
  • Dwight Donovan, the president of Finch Enterprises, is considering two investment opportunities. Because of limited resources, h
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!