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
harkovskaia [24]
3 years ago
13

Write a formula for the general term (the nth term) of the arithmetic sequence to find the sixth term of the sequence with the g

iven first term and common difference.

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

a₆ = 54

Step-by-step explanation:

The general term of an arithmetic sequence is: $ a_1, a_1 + d, a_1 + 2d, a_1 + 3d, \hdots $

where, $ a_1 $ is the first term and

$ d $ is the common difference.

The $ n^{th} $ term of the sequence is given by $ a_n = a_1 + (n - 1)d $.

Therefore, $  a_6 = a_1 + (6 - 1)d  = a_1 + 5d $

$ \implies a_6 = 14 + 5(8) = 14 + 40 $

∴ a₆ = 54

You might be interested in
For a cube whose side length the lexpression
AleksandrR [38]
Can you give more information?
7 0
2 years ago
On the graph, sketch f(x)=x+3 as well as g(x)=x
tresset_1 [31]

Answer:

below

Step-by-step explanation:

5 0
1 year ago
One serving of yogurt has 95 calories.
fiasKO [112]

Answer:

About 300 calories

The drawing will help

7 0
3 years ago
3y+6-y Please help! I'm awful at math
Sloan [31]

Step-by-step explanation:

So what are you looking for with that equation?

6 0
3 years ago
Dine lives 3/4 of a mile from school. She walked 2/3 of the way from home to school. How far did Dina walk?
Bas_tet [7]

Answer:

17/12  or mixed mixed number form is 1 5/12

Step-by-step explanation: all u do is add them :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Garica family bought 9 bags of cookies each bag had 15 cookies they have eaten 27 of the cookies how many cookies do they have l
    15·1 answer
  • The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
    15·1 answer
  • Alexa and Rose read books that have the same number of Pages. Alexa's book is divided into 8 equal chapters. Rose's book is divi
    12·2 answers
  • Good day! Please help me in this difficult problem and I will be very grateful if you can explain this to me :D
    5·2 answers
  • john goes out to eat at a local restaurant the bill comes to $47.38 john wants to leave a 20% tip how much of a tip should he le
    12·1 answer
  • What's 4/5 times 3/11 times 1/4
    14·2 answers
  • If 32x+1 = 3x+5, what is the value of x?<br>2<br>3<br>4<br>6​
    15·1 answer
  • What is the Tenth COMMON FACTOR of 6 and 9? (DO NOT respond with the LCM of 6 and 9)
    8·1 answer
  • To rent an instrument from the school it costs a $50 insurance fee and then $350 per day of use. If Sally rents her instrument f
    6·2 answers
  • HELP WILL GIVE BRAINLEST QUICKKK SP and SR are tangent to circle Q. If SP = 10x - 18 and SR = 2x + 6, find x.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!