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
Elanso [62]
3 years ago
9

Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22​

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{6} = 12 and a_{8} = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

a_{2} = - 13 + 5 = - 8

a_{n} = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

You might be interested in
Help me with maths please
jolli1 [7]

Answer:

i don't know this answer but i do know something about math i know a square plus b square = c square

Step-by-step explanation:

4 0
3 years ago
Pls help will give brainleist to first real answer
ser-zykov [4K]
Sally has $40 hope it helps some
7 0
3 years ago
PLEASE HELP<br><br><br> What is the equation of the line shown?
Ivenika [448]

So, let's start off with explaining what these different questions mean;

y = |x + c| Shifts the graph c units left.

y = |x - c| Shifts the graph c units right.

y = |x| + c Shifts the graph c units up.

y = |x| - c Shifts the graph c units down.

(0,0) Is the starting point on any graph like this. So, determine the answer by going through the list of answers.

I believe the answer is y = 2x.

I would like to know if I am wrong so contact me!!

8 0
3 years ago
5t^2 - 5.5 - 3.5t + 1.5t^2 +4t
RideAnS [48]
The answer is 6.5t2+0.5t−5.5 , it’s simplified
8 0
2 years ago
Read 2 more answers
12. Joe counted 5 birch trees in the park. Sara counted 235 pine trees. How many times as many pine trees as birch trees did the
Fittoniya [83]

Answer:

47

Step-by-step explanation: make sure to divide correctly

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is -3=5u+2 simplified
    9·2 answers
  • A=2b^3-1 what's the value of b if a is 13
    10·2 answers
  • What is<br> 4 hr 51 min 19 sec<br> +2 hr 53 min 23 sec
    15·1 answer
  • Please help me with this.!
    9·1 answer
  • Help!!!!!!!!!!!!!!!!!!
    7·1 answer
  • Marc-Andre Fleury made saves on 27 of the first 29 shots in the hockey game Find experimental probability that he will make a sa
    5·1 answer
  • 211m+16=4+611m<br> m=<br> find the sum to m
    11·2 answers
  • The graph shows the cost of 4 kinds of plants. Which kind of plant has a unit cost of $2?A. rose
    5·2 answers
  • A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​30% actually enroll. If 30,
    6·2 answers
  • How do I solve this equation? please help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!