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
Kisachek [45]
2 years ago
13

What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34

Mathematics
1 answer:
Galina-37 [17]2 years ago
4 0

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30              given

a1 = 6               given  

t30 = 209         calculated from step 2

Sum = (a1 + t30)*n/2        Substitute

Sum = (6+ 209)*30/2       Combine like terms and divide by 2

sum = 215 * 15                  Multiply

Sum = 3135                      Answer

You might be interested in
Anyone know the area?
Elina [12.6K]
Answer:  The area of the triangle is:  " 8.5 cm² " ; 

                                         or, write as:  " 8\frac{1}{2} cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = (\frac{1}{2}) * b * h ;
   
in which:  A = area; 
                 b = base;
                 h = [perpendicular] height;
___________________________________
{also, can be written as:  " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
                             base, "b" = 13 cm ;
[perpendicular] height, "h" =  5 cm ;
______________________________________
A = (b * h) / 2 ;

   = (13 cm * 5 cm) / 2 ; 

   = [ (13 * 5) cm²] / 2 ; 

    = 65 cm² / 2 ;

A  = " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
Answer:  " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
The area of the triangle is:  " 8.5 cm² " ; 

                         or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
5 0
3 years ago
What is <br> 1/5 * 1/6x = - 33
azamat

Answer:

x = -990

hope it helped!

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIST<br><br> explain how to find the difference using counters<br><br> 5-8= _____
egoroff_w [7]

Answer:

-3

Step-by-step explanation:

Just subtract it like it was the other way around then add a minus (-)

8 0
3 years ago
Read 2 more answers
If the half-life of aspirin in the bloodstream is 5 hours, how much aspirin is left in the bloodstream 12 hours after 1000 milli
Tom [10]

\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1000\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &5 \end{cases} \\\\\\ A=1000\left( \frac{1}{2} \right)^{\frac{12}{5}}\implies A\approx 1000\cdot 0.189\implies A\approx 189

8 0
3 years ago
Which line is perpendicular to 5x + 4y = 8?
bixtya [17]
It would be C) 5y = -4x -15
3 0
3 years ago
Other questions:
  • Perform the indicated operation. <br> -27 ÷ -9 <br> -3<br> -18 <br> -36<br> none of the above
    5·1 answer
  • Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 of a cub
    10·1 answer
  • Answer these please!!!!
    9·1 answer
  • On friday , 2 classes went on a feild trip. if the 3 other classes are left at the school, and there are 20 students per class,
    8·1 answer
  • 3x + 2•|x-8|-12<br> How do I solve this
    15·1 answer
  • A. If 3x + 10º and 4x - 5° are the angle of a linear pair find their measurement.
    15·1 answer
  • What is the mode of this data on the quiz scores? 100, 98, 95, 92, 88, 85, 80, 75
    10·1 answer
  • The answer to a division problem in David's homework was 12. Which of the following expressions might he have solved? Select ALL
    6·2 answers
  • Triangle ABC id isoceles. What is the measure of C?​
    13·1 answer
  • Simplify the following expression.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!