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
anzhelika [568]
3 years ago
11

Can someone please help me ASAP

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0
The answer is 2.2 x 10^5
You might be interested in
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Ippppppppppppppppppopkokhiufytedfliyhuigjboihlk.h
Lemur [1.5K]

Answer:

it b

Step-by-step explanation:

5 0
2 years ago
Show the work please
s2008m [1.1K]
683 decided. By 12= 57
6 0
3 years ago
Read 2 more answers
If the theater has 4,650 seats.If the theater sells all the tickets for each of its 5 shows,how ,any tickets will the theater se
Margaret [11]
The theater will sell 23,250 tickets.
5 0
2 years ago
Read 2 more answers
How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 20 coi
ycow [4]
 <span>Because there are 20 coins plus four bars = 24 items to choose. You want to choose where to put the four bars, thus C(24,4). There are four bars, not five. Note that four bars divide the 20 coins into five sections. Five bars would divide it into six, but we only have five different kinds of coins to choose from.</span>
5 0
3 years ago
Other questions:
  • If the equation is h= -2x^2 + 12x -10 how do I find the max height?
    13·2 answers
  • 3,-10, -2, 13, 11 The mean is​
    15·2 answers
  • Write an equation in point slope form for the line through the given point with the given slope (4,-6); m=3/5
    11·2 answers
  • What would be the graph for y=3x+7
    9·1 answer
  • Please help answer both questions
    8·2 answers
  • HURRY I WILL GIVE BRAINLIEST which choice is equivalent to the product below √2x√5x√8
    11·1 answer
  • ¿Cuál número decimal corresponde a la fracción 1328?
    11·1 answer
  • Laurague here is your answer:)
    7·1 answer
  • Patrick, Hall, Belvedere, and Shaq collect posters. Patrick has 60
    6·1 answer
  • Which mapping diagram does NOT represent a function from x &gt; y ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!