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
Basile [38]
3 years ago
8

What is the sum of the first 100 terms of the sequence 4,9,14,19, ...?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it.  (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

S = \frac{n}{2} * (2a + (n - 1) * d)

If we plug in our values, we have:

S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)

S = 50 * (8 + 495) = 50 * 503 = 25150

Svetlanka [38]3 years ago
7 0

Answer:

Sum of 100 terms = 25150

Step-by-step explanation:

Formula:-

Sum of n terms of an AP

Sₙ = n/2[2a + (n - 1)d]

Where n - number of terms

a - first term and d - common difference

<u>To find the sum of 100 terms</u>

here, n = 100, a = 4 and d = 5

S₁₀₀ =  n/2[2a + (n - 1)d]

       = 100/2[2*4 + (100 - 1)5]

       = 50[8 + 99*5]

       = 25150

You might be interested in
Find 72% of 50<br>(REEEEEE)​
Snowcat [4.5K]

Answer:

The answer is 37.44

Step-by-step explanation:

Step 1: Divide 52 by 100

In this case, the number that we are "comparing" to 100 is 52, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:

52

100

=

52

÷

100

=

0.52

Step 2: Multiply 0.52 by 72 to get the solution

Now that we have our normalized number, 0.52, we just have to multiply it by 72 to get our final answer. The forumla for this is obviously quite simple:

0.52

×

72

=

37.44

8 0
3 years ago
Find k. Write your answer in simplest radical form.
sdas [7]

the K is next to the find like

6 0
3 years ago
3x-2(x+3)=4x-9-x is the question
kozerog [31]

Answer:

\large\boxed{x = 7}

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

\large\boxed{x = 7}

Hope this helps :)

8 0
3 years ago
Find the distance points p (3,6) and q (7,3) to the nearest tenth?
Vladimir79 [104]
<h3>Answer: 5</h3>

=========================================================

One method is to plot the points P(3,6) and Q(7,3) on the same xy grid.  Plot a third point R at (3,3). See the diagram below.

A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.

a^2+b^2=c^2

3^2+4^2 = c^2

9+16 = c^2

c^2 = 25

c = sqrt(25)

c = 5

This is the length of PQ

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

Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

d = \text{Distance from P to Q}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(3-7)^2+(6-3)^2}\\\\d = \sqrt{(-4)^2+(3)^2}\\\\d = \sqrt{16+9}\\\\d = \sqrt{25}\\\\d = 5\\\\

8 0
3 years ago
Read 2 more answers
8. Solve x/10 = –7. A. x = –0.7 B. x= –17 C. x = –70 D. x = 3
ANEK [815]
For this problem, I believe you would just have to plug in for x.

For example, -17 divided by 10 and so on.

The answer should be C, -70. -70 divided by 10 equals -7. 
4 0
3 years ago
Other questions:
  • Simplify i^12 <br> A. -1<br> B. -i<br> C. i<br> D. 1
    11·2 answers
  • The perimeter of a rectangle is 400 yards. what are the dimensions of the rectangle if the length is 50 yards more than the​ wid
    9·1 answer
  • Find the equation of the line (in slope intercept form) if the slope of the line is (-5/6) and the point (12,9) is a point on th
    11·1 answer
  • Line segment ST has endpoints (3,2) and (7,4). What is the equation for the perpendicular bisecotr?
    15·1 answer
  • Solve log812 = x – 2 . Round your answer to four decimal places.
    12·2 answers
  • Geometry math question no Guessing and Please show work
    9·1 answer
  • 4g2 (-g)3 = -4g5<br><br> True<br> False
    11·2 answers
  • At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Whats the precent of vanilla to ch
    13·2 answers
  • Please help me with my math question?
    9·1 answer
  • ryan wants to buy a sweatshirt for $42.99. The sale tax rate in his city is 7 1/2% what is the total cost for the sweatshirt? ro
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!