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
Howard needs to buy pens and pencils for work. Pens cost $0.40 each and pencils cost 50.25 each. He needs to buy at least 340
Korolek [52]

Answer: what is the answer

Step-by-step explanation:

4 0
2 years ago
Help Me Please!!! I can't get this wrong
8_murik_8 [283]

Answer:

41ft is your answer

left side=√(12²+12²)=16.97=17ft

perimeter=sum of all side=12+12+17=41ft

6 0
3 years ago
(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to
densk [106]
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
 By definition we have that the volume of a rectangular prism is given by:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height
 We then have to replace the values:
 V = (7) * (5.5) * (2.5)
 V = 96.25 in ^ 3
 Equivalently:
 V = 96 1/4 in ^ 3


 B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

 No, this fish tank could not hold 100 in³ of water.
 This is because the prism volume (part A) is less than 100 in ^ 3.
 In other words;
 96 1/4 in ^ 3 <100 in ^ 3
4 0
3 years ago
What mixed number is equivalent to 16/3
DerKrebs [107]
Alright then!

First off, is your picture REALLY necessary? Whatever haha

A mixed number is just a simplified fraction really.

16/3 = 5 1/3

Hope it helps!
Can you give me brainliest as well please? Thanks ~Samuel
3 0
3 years ago
Read 2 more answers
Please Help!<br><br> What is a cubic polynomial function in standard form with zeros –5, –1, and –5?
yan [13]
FIRST. find the factors:
X=-5 --> (X + 5) = 0
x = 1--> (X - 1) = 0
x =3 --> (x - 3) = 0
3
NEXT, multiply all the factors:
(x + 5) (x - 1) (x - 3) = 0
-> X3 + x2 - 17x +15 = 0
-> f(x) = x3 + x2 - 17x +15 or
y=x3 + x2
17x + 15
8 0
2 years ago
Other questions:
  • Please do questions 31-34 I need them ASAP in 2h
    9·2 answers
  • What is Evaluate 4/5-3/7​
    9·1 answer
  • Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 333 transportation opti
    14·1 answer
  • How do you find the hypotenuse of a triangle??? HELPPP
    5·1 answer
  • Can someone please help me with this :((
    11·1 answer
  • The equation of line m is 5x – 3y = 2.
    12·1 answer
  • If the point (x, y) is in Quadrant IV, which of the following must be true?
    12·1 answer
  • Express the radical using the imaginary unit i
    7·1 answer
  • Pls help me on this
    8·1 answer
  • A professional painter knows that it takes 0.29 ounces of the paint he prefers to cover 1 square foot of wall. If he calculates
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!