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
MY 1st QUESTION, WILL GIVE BRAINILIST!
Andrej [43]

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

5 0
3 years ago
Read 2 more answers
Math answer and description please
ycow [4]

Answer:

where is the problem??

8 0
3 years ago
Read 2 more answers
( -4 ) 3÷( -4 ) -12 ​
bazaltina [42]

Answer:

(-4)3/(-4)-12

-12/48

-1/4

Step-by-step explanation:

PEMDAS

do multiplication then division

8 0
3 years ago
Can someone help me , what is 525 x 358 ?
Ainat [17]

Answer:

187,950

Step-by-step explanation:

your welcome

6 0
2 years ago
25+12 1/2 + 61/4+31/8+19/16+25/32=
Len [333]
Make them all have the same denominator
32

25+12 16/32+488/32+124/32+38/32+25/32

Add all of the numerators... to get 691/32+1184/32
1875/32
Simplify to get 58 19/32
4 0
3 years ago
Other questions:
  • A computer store decides to increase the prices of all the items it sells by 15%. The store manager uses matrices to prepare the
    7·1 answer
  • How do logarithmic equations relate to exponential equations?
    6·1 answer
  • 35 points!!!
    14·1 answer
  • Find the error, Rashid and Tia solve the quadratic equation (2x2-8x +10=0) by completing the square. Who is correct? Explain you
    5·1 answer
  • Triangle FEGis similar to triangle IGJ. Find the value of y.
    7·1 answer
  • Use the figure to find the specified angle measure. In the figure, II q
    8·1 answer
  • In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in
    5·1 answer
  • 1. Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C is the
    13·1 answer
  • Find the value of -8 - 12 - (-20).<br> 24<br> 16<br> -40<br> 0
    12·1 answer
  • With tax included, a couch costs $315. What does the couch cost before tax?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!