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
cestrela7 [59]
3 years ago
12

The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?

Mathematics
1 answer:
OLga [1]3 years ago
3 0
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
You might be interested in
Which of the following is not a possible r-value?<br> A.0.3 <br> B.-0.3 <br> C.-1.6 <br> D.0.6
sveta [45]
|r| ≤ 1
selection C cannot be a value of r.
8 0
3 years ago
Read 2 more answers
A square shaped patio has an area of 256 ft 2 what are the dimensions of the patio
Romashka-Z-Leto [24]

Step-by-step explanation:

√256

it's a 16in x16in patio

all four sides are 16

3 0
3 years ago
Story Problems
Gnom [1K]
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars  
We have Lesley's purchase: 4x+2y=13.50
 And Landon's: 1x+5y=17.55 
 We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55 
 We add this four times to Lesley's purchase to eliminate the x variable.
 2y-20y=13.50-70.2
 -18y=-56.7
 y = $3.15 = Price of box of granola bars
 
 Plug back into Landon's purchase to solve for pretzels.
 x+5*3.15=17.55
 x+15.75=17.55
 x = $1.80 = price of bag of pretzels
  
 Problem 4.
 Let w = number of wood bats sold
 Let m = number of metal bats sold
 
 From sales information we have: w + m = 23
 24w+30m=606 
 Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second. 
 24*(23-m)+30m=606
 552-24m+30m=606
 6m=54
 m=9 = number of metal bats sold
 Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.


6 0
3 years ago
Read 2 more answers
I just failed algebra for the third time someone help pls<br> Just tell me what to do
Nikolay [14]

Answer:

study lol

Step-by-step explanation:

6 0
3 years ago
Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are
Gennadij [26K]

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

4 0
3 years ago
Other questions:
  • Ehhh I don’t get this
    12·1 answer
  • Can someone please answer this ​
    13·2 answers
  • Ramona is filling window box planters that will be sold to benefit a local charity. She has 56 pansies, 42 tulips, and 28 marigo
    5·1 answer
  • Help me solve 3/4x=18-1/2x
    9·1 answer
  • What additional piece of information must be known in order to calculate the volume of the cylinder below?
    13·1 answer
  • What is the average rate of change from week 2 to week 4?
    14·1 answer
  • 5kg of compost cost £7.50. Find the cost of 10kg of compost and 100kg of compost
    9·1 answer
  • if the volume of a prism in 18 in3 , what is the volume of a pyramid with the same base area and height?​
    11·2 answers
  • A moving truck states that it holds 300 cubic feet of boxes. The truck is 25 feet in length and 8 feet in height. What is the wi
    11·1 answer
  • Explain your answer !!<br><br> Have a great day <br><br> Will give brainlst
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!