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
Drupady [299]
3 years ago
5

Suppose the sequence {an} is arithmetic with a3 = 15, d = -3/2, and an=6 Find n.

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

The value of n = 9th term

Step-by-step explanation:

Given:

In an arithmetic series

a3 = 15

d = -3/2

an = 6

Find:

The value of n

Computation:

In an arithmetic series

An = a + [n - 1]d

where,

An = last term

a = first term

n = number of term

d = common difference

So,

a3 = a + 2d

15 = a + 2(-3/2)

15 = a - 3

a = 18

An = a + [n - 1]d

6 = 18 + [n - 1][-3/2]

-12 = [n-1][-3/2]

8 = n - 1

The value of n = 9th term

You might be interested in
A car traveling east at 40.0 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in
Anni [7]

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 40 m/s

Final speed of the car, v = 25 m/s

Time taken, t = 3.5 s

(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :

a=\dfrac{v-u}{t}

a=\dfrac{25-40}{3.5}

a=-4.28\ m/s^2

The acceleration is in the opposite direction of motion i.e. west.

(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as

s=\dfrac{v^2-u^2}{2a}

s=\dfrac{25^2-40^2}{2\times (-4.28)}

s = 113.9 meters

Hence, this is the required solution.

6 0
4 years ago
(05.01 LC)*PLEASE ANSWER 20 POINTS +BRANLIEST PLEASEEE!!!
Bess [88]
C) 1/25 for every 1 it goes up 25. therefore 1/25! hope I helped!!! brainliest would be much appreciated because I am trying to rank up!!!
3 0
3 years ago
Read 2 more answers
Graph a line with a slope of 3/4that contains the point (2, -3)
Jet001 [13]
Start at the point (2, -3) and then go up 3 and to the right 4 a few points and then go down 3 and to the left 4 a few points and then from there you can get an equation out of it
8 0
3 years ago
Find the slope of the line running<br> through these two points (-4,5) and (8,-3)
Artemon [7]

Answer:

The slope is

\frac{-3-5}{8-(-4)} =\frac{-8}{8+4} =\frac{-8}{12} =-\frac{2}{3}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each b
german

Answer:

16 boxes

Step-by-step explanation:

160+50x=1000

Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.

(How to solve for x:

Get x by itself by subtracting 160 to both sides.

50x=1000-160

50x=840

Divide both sides by 50.

x=16.8)

8 0
3 years ago
Other questions:
  • Look at this equation. -6+(-6)+(-6)+(-6)+[(-4)+(-4)+(-4)+(-4)+(-4)+(-4)]=(-6)(x) What is the missing number that makes this equa
    5·2 answers
  • The mean age and median age of 6 people in a room is 40 years. a person whose age is 60 years leaves the room. question 1. if po
    13·1 answer
  • Jenny has been given a list of 4 bands and asked to place a vote. Her vote must have the names of her favorite, second favorite,
    5·1 answer
  • The table shows conversions for common units of length.
    6·2 answers
  • 96,187 square miles. Round the area to the nearest ten.
    13·1 answer
  • -3x+3y=9 2x−7y=−14 ​
    13·1 answer
  • What is the equation of the line
    11·1 answer
  • 25 points!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • Need help ASAP! Directions and problem in the picture ;)
    5·1 answer
  • Find the perimeter of this adjoining figure​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!