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
11111nata11111 [884]
3 years ago
12

If the common differences of an Ap is 5, the value of a18-a13 is

Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

25

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n- 1)d

where a₁ is the first term and d the common difference

Here d = 5, then

a₁₈ = a₁ + 17d = a₁ + 85

a₁₃ = a₁ + 12d = a₁ + 60

Thus

a₁₈ - a₁₃

= a₁ + 85 - a₁ - 60

= 25

You might be interested in
What is 3(x-1)<12 or x+7>10
Otrada [13]

Simplifying

3[x + -1] = 12

Reorder the terms:

3[-1 + x] = 12

[-1 * 3 + x * 3] = 12

[-3 + 3x] = 12

Solving

-3 + 3x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 3x = 12 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = 12 + 3

3x = 12 + 3

Combine like terms: 12 + 3 = 15

3x = 15

Divide each side by '3'.

x = 5

Simplifying

x = 5


6 0
3 years ago
Find one positive and one negative angle coterminal with an angle of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B11pi%7D%7B8%7D"
zaharov [31]

Answer:

see explanation

Step-by-step explanation:

Co terminal angles are angle ± 2π, that is

\frac{11\pi }{8} + 2π

= \frac{11\pi }{8} + \frac{16\pi }{8} = \frac{27\pi }{8}

and

\frac{11\pi }{8} - 2π

= \frac{11\pi }{8} - \frac{16\pi }{8} = - \frac{5\pi }{8}

3 0
4 years ago
Help I need a second opinion. Is my answer correct? See pic below.
nadya68 [22]

You're first one is correct, with the increase of Petroleum being the most at 3.4%


However, the second one is incorrect, because you are finding the percentage increase, or 12.7 - 9.3 = 3.4%


So the second one is 3.4



hope this helps

6 0
3 years ago
Read 2 more answers
(f +g)x= g(x)+ f (x)<br><br> Is the this true or false?
Bess [88]

Answer:

True

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
All exponential functions can be written in many forms. Write the function
andre [41]
Nsjdjdneebododene eveh
8 0
3 years ago
Other questions:
  • Luis Nunez begins walking at a rate of 8 mph. Forty-five minutes after he​ leaves, his​ wife, Kristin, realizes that Luis has fo
    13·1 answer
  • Find the area of the trapezoid by decomposing it into other shapes.
    12·1 answer
  • An exponential function f(x)=a⋅bx passes through the points (0, 4) and (2, 64). What are the values of a and b?
    12·1 answer
  • Write the equation of each circle given its center and a point P that it passes through
    8·2 answers
  • Find the unit price in dollars per pound<br><br> 2 1/4 pounds for $4
    5·1 answer
  • Write the missing exponent<br> 8=2
    5·2 answers
  • Please helpppppp
    5·2 answers
  • I need help with this
    7·2 answers
  • Eight years from now, you will be inheriting $100,000. what is this inheritance worth to you today if you can earn 7.25 percent
    15·1 answer
  • Find the LCM of the polynomials.<br> x² - x - 42<br> x2 + x - 56
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!