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
user100 [1]
3 years ago
6

Find the sum of the sequence 36 37 38 39 ... 109=

Mathematics
1 answer:
uysha [10]3 years ago
8 0
It's an arithmetic sequence:

a_1=36;\ a_2=37;\ a_3=38;\ ...\ ;\ a_{74}=109\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=36;\ n=74;\ a_{74}=109\\\\S_{74}=\dfrac{36+109}{2}\cdot74=\dfrac{145}{2}\cdot74=72.5\cdot74=5365
You might be interested in
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r
slega [8]

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

7 0
3 years ago
Write 3 rational number whose value is less than 1/2
fredd [130]
1/3, 1/4, 1/5. I didn’t really understand your question so see if that helps?
6 0
3 years ago
The sum of the digits of a two digit number is 7. If 9 is subtracted from the number, the answer will be the number with the dig
cupoosta [38]
Just work through step by step
Follow each point until you reach one answer
Digits = 7
-9 = reverse

16 - 9 = 7        x
25 - 9 = 16      x
34 - 9 = 25      x
43 - 9 = 34      Y
52 - 9 = 43      x
61 - 9 = 52      x

4 + 3 = 7
43 - 9 = 34 - the digits have been reversed

43
5 0
4 years ago
Read 2 more answers
(2x-1)^2=<br><br> Some one plz help.....
Arlecino [84]

Answer: 4x^2−4x+1

Step-by-step explanation:

(2x-1)^2

Square of Difference: (a−b)^​2=a^​2−2ab+b^2.

(2x)^​2−2*2x+1

Multiplication Distributive Property: (xy)^​a=x^{a} y^{a}

2^​​​2x^2−2*2x+1

4x^2−2*2x+1

4x^2−4x+1

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

3 0
3 years ago
Can you help me solve an infinite geometric sequence
zaharov [31]

A geometric series like

\displaystyle \sum_{n=1}^\infty \dfrac{1}{\alpha^n}

Converges if and only if |\alpha|>1. If this is the case, the sum equals

\displaystyle \sum_{n=1}^\infty \dfrac{1}{\alpha^n} = \dfrac{1}{\alpha-1}

So, in your case, you have convergence if and only if

|2+a|>1 \iff 2+a>1 \lor 2+a-1 \lor a

And if this is the case, the sum equals

\displaystyle \sum_{n=1}^\infty \dfrac{1}{(2+a)^n} = \dfrac{1}{2+a-1} = \dfrac{1}{a+1}

8 0
3 years ago
Other questions:
  • When drawing the arcs in order to bisect a line segment, why must the width of the compass be more than half of the length of
    12·1 answer
  • What is the LCD of <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20" id="TexFormula1" title=" \frac{5}{12} " alt="
    9·1 answer
  • A orchard has 48 apple trees,30 peach trees, and 42 pear trees. In simplistic form, what fraction of the trees are peach trees?
    14·2 answers
  • 6) A plane is preparing to land. It is at an altitude of
    5·1 answer
  • Can somebody plz answer this problem
    6·1 answer
  • Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5 meters
    14·1 answer
  • Help! the picture is the problemmm
    7·1 answer
  • Aisha is a sales clerk at Macy's. She paid $8.00 per hour plus a commission of 4% on all sales. Assuming Aisha works 39 hours an
    6·1 answer
  • Genesis’ basketball team won 32% of the games that they played this year and if they won 16 games, how many games they play this
    14·1 answer
  • An adult African elephant weighs approximately 8 tons. Which comparison is true
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!