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
andreyandreev [35.5K]
3 years ago
13

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?​

Mathematics
1 answer:
Alex3 years ago
3 0

Answer:

\huge\boxed{18,475}

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}

We have

a_1=2\\d=17-2=32-12=47-32=15\\n=50

Substitute:

S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475

You might be interested in
Need help with this. Please explain step by step
Inga [223]

25 base 8 = 21


5*8^0 = 5*1 = 5

2*8^1 = 2*8 = 16

                   =====

                      21

5 0
3 years ago
Rewrite 1−2 sin ^2 (22.5∘) using a double-angle identity.
attashe74 [19]
Using the identity :

Cos (2a) = 1-2 Sin^2(a)

Therefore :<span>1−2 sin ^2 (22.5∘) = Cos(2a)
                                                = Cos (2 * 22.5) = Cos 45</span>
3 0
3 years ago
A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a hei
rusak2 [61]

Answer:

The amount of water left in the tank is approximately 58.1 cubic meters

Step-by-step explanation:

step 1

Find the volume of the a cube shape tank

The volume is equal to

V=b^{3}

we have

b=4.6\ m

substitute

V=4.6^{3}=97.336\ m^{3}

step 2

Find the volume of cone

The volume is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=2.5\ m

h=6\ m

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2.5)^{2}(6)

V=39.25\ m^{3}

step 3

Find the difference of the volumes

97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}

3 0
2 years ago
Look at the coordinate plane.
Taya2010 [7]

Answer:

y = -3

Step-by-step explanation:

Desmos

7 0
2 years ago
Which of the following tables represents exponential functions ?
solong [7]
The bottom two because they rapidly go up or down super fast. If it’s an exponential function, it will start off as super low or super high and then shoot up or down rapidly
7 0
3 years ago
Other questions:
  • Paul's bathtub is clogged.he has to empty 30 liters of water by hand. Paul has a 3 liter, a 4 liter, and a 5 liter bucket. If Pa
    15·1 answer
  • PLEASE HELP ME ‼️
    6·1 answer
  • A recipe for sweet potato casserole calls for 3/4 cup of milk. Martina has 6 cups of milk. How many sweet potato casseroles can
    14·2 answers
  • Can i get some help on these math problems please
    15·1 answer
  • Someone plz help me I’ll give brainliest
    15·1 answer
  • Evaluate the expression by using the given value of the variables.
    13·1 answer
  • For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 48 N acts on
    12·1 answer
  • Luann wrote an expression showing 8 times the difference of y and 3. Select all expressions that are equivalent to the value of
    9·1 answer
  • Which situation could be represented by -18
    11·1 answer
  • Suponga que el monto promedio de compras por cliente de una empresa es de $128.45 y una desviación de $18.26
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!