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
lara31 [8.8K]
3 years ago
15

The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the

nth term​
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

a3 = 9

so the first three terms is -5; 2; 9

You might be interested in
In a collection of toys, 1/2 are red, 1/2 are waterproof, and 1/3 are cool. 1/4 are red and waterproof. 1/6 are red and cool. 1/
abruzzese [7]

Answer:

only red = 1/12, only water proof = 1/12 , only cool = nil we assume nil for toys with three collections( cool, red, waterproof) as it was not stated.

11/6 are neither red, water proof and cool.  

Step-by-step explanation:

outside the circles contain probability of neither red, cool and water proof. where the circles intersect shows probability of both either red and cool, water proof and cool and water proof and red etc. where all the circles intersect if for the three combinations which is nill. Attached is the diagram

Download doc
8 0
3 years ago
Read 2 more answers
Help me solve this problem please
sergey [27]
The answer is y-4=-3(x-13)
5 0
3 years ago
Read 2 more answers
Julio practiced his trumpet on each 6 days during a week. What is the mean of minutes Julio practiced over these 6 days.
Novay_Z [31]
21+30+39+43+58+67 = 258.  
258/6 = 43

43 minutes
4 0
3 years ago
Read 2 more answers
After school, Hugo helps out at a bunny shelter called Hoppy's Home. He cleans cages and feeds all 8 bunnies at the shelter. In
amm1812

Answer:

25.3

1_ draw a triangle

the shortest side is a which will be 8(bunnies)

diagonal will be c ( what you need to find )

the last side will be b.

so the equation is a2+b2=c2 ( 2=squared)

that means..... 8x8+24x24=c

8x8=64

24x24=576

then add

576+64=640

the find square root

√640=25.2982212813

simplify to 25.3

you know your answer is correct because c is always the biggest side

5 0
3 years ago
The rate on a cell phone is $0.22 per minute. If Izzy uses her phone for 2 hours, how much does she pay?
Molodets [167]

Answer:

$26.4

Step-by-step explanation:

ight 60 min in an hour

.22 per minute

.22 * 60 = 1 hour rate = $13.2

Multiply dat by 2 for 2 horas

13.2 * 2 = $26.4

5 0
3 years ago
Other questions:
  • Ansewr fast plzzzzzzzzz
    9·2 answers
  • How many groups of four shirts can you choose from six shirts? Determine if the word problem is a permutation or a combination,
    9·1 answer
  • What’s the correct answer for this question?
    5·1 answer
  • In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it
    7·1 answer
  • Expressão ( - b + c)² . h, para b = 12, c = 10 e h = 8, é: *<br>Mim ajudem ​
    5·1 answer
  • Example of different types of function.​
    12·1 answer
  • Simplify the expression: 7(9x + 6y)
    5·1 answer
  • Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.
    9·2 answers
  • The proof that ΔRST ≅ ΔVST is shown. Given: ST is the perpendicular bisector of RV. Prove: ΔRST ≅ ΔVST Triangle R S V is cut by
    8·2 answers
  • I need help with this practice I am having a tough time solving it properly
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!