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
MrRa [10]
3 years ago
12

For each sequence, find the common difference.

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

first is 18

second is 36

third is -10

fourth is -10

You might be interested in
A patio was to be laid in a design with one tile in the
Vlada [557]

Answer:

10

Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1.  The sum of the first n terms of an arithmetic series is:

S = n/2 (2a₁ + d (n − 1))

Given that a₁ = 1 and d = 1:

S = n/2 (2(1) + n − 1)

S = n/2 (n + 1)

Since S ≤ 60:

n/2 (n + 1) ≤ 60

n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

Mr. Tong should use 10 tiles in the final row to use the most tiles possible.

7 0
3 years ago
What is the slope of the line (-3,0) and (1,-6)
iren2701 [21]

Answer is provided in the image attached.

6 0
3 years ago
A gold mine is projected to produce $52,000 during its first year of operation, $50,000 the second year, $48,000 the third year,
marshall27 [118]

Answer:

its present worth is nearest to 483,566

Option d) 483,566 is the correct answer

Step-by-step explanation:

Given that;

gold mine is projected to produce $52,000 during its first year

produce $50,000 the second year

produce $48,000 the third year

the mine is expected to produce for 20yrs; i.e n = 20

annual interest rate = 4% = 0.04%

now let P represent the present worth

we determine the present worth ;

Present worth ⇒ Cashflow(Uniform series present worth) - (2000)(uniform gradient present worth)

⇒Cashflow(P | A,i%,n) - (2000)(P | G,i%,n)

= 52000[ ((1+i)ⁿ - 1) / (i(1+i)ⁿ) ] - (2000)[ {((1+i)ⁿ - 1) / (i²(1+i)ⁿ))} - (n/i(1 + i)ⁿ) ]

= 52000[ ((1+0.04)²⁰ - 1) / (0.04(1+0.04)²⁰) ] - (2000)[ {((1+0.04)20 - 1) / ((0.04)²(1+0.04)²⁰))} - (20/0.04(1 + 0.04)²⁰) ]

= 52000[ ((1.04)²⁰ - 1) / (0.04(1.04)²⁰) ] - (2000)[ {((1.04)²⁰ - 1) / ((0.04)²(1.04)²⁰))} - (20/0.04(1.04)²⁰) ]

= 52000[ ((2.191123 - 1) / (0.04(2.191123) ] - (2000)[ {((2.191123 - 1) / ((0.0016)(2.191123))} - (20/0.04(2.191123) ]

= 52000(1.191123/0.08764) - (2000){( 1.191123/0.003506) - (20/0.87645)}

= 52000(13.59033) - (2000)(339.7582 - 228.1935)

= 52000(13.59033) - (2000)(111.5647)

= 706695.6 - 223129.4

= 483,566.2 ≈ 483,566

Therefore its present worth is nearest to 483,566

Option d) 483,566 is the correct answer

4 0
3 years ago
Do this and you’ll get 25 points
MrRissso [65]

Answer:

1

Step-by-step explanation:

m= (y-y1)/(x-x1)

Points are  (-10, -20) and (1, -9)

m= (-20+9)/(-10-1)= (-11)/(-11)= 1

m=1 to replace ? mark

6 0
3 years ago
Read 2 more answers
What does (x2−50x−600)÷(x−60) equal?
Natalka [10]

Answer:

x+10      x ≠ 60

Step-by-step explanation:

(x^2−50x−600)

----------------------

   (x−60)

Factor the numerator

(x-60)(x+10)

-------------------

(x-60)

Cancel the like terms

x+10

8 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a nickel 2.1 cenimeters. what is the combined length of 2 nickels line by side by side
    5·1 answer
  • How many sides does a regular polygon have if each exterior angle measures 72
    8·1 answer
  • 68 divided 503 using 2 compatible numbers
    6·1 answer
  • What is the common ratio of the geometric sequence below?
    15·1 answer
  • 7.3 Times 10 to the power of two
    12·1 answer
  • PLEASE BE RIGHT AND SOLVE
    9·2 answers
  • Find the slope of the line graphed below.
    13·1 answer
  • Without graphing, where will the line y=7x-2 cross the y axis?
    9·1 answer
  • A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
    10·1 answer
  • Calculus, question 5 to 5a​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!