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babunello [35]
3 years ago
13

Four times the sum of a number and 3 is 2.

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0
32 girly pop up just like the other guy said
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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
I need help ASAP. Please answer this equation! Combine like terms.
Pavel [41]

Step-by-step explanation:

4x+ 5x - 5 +6 +4y^3- 2y^3- 5y^3

9x + 1 + 64y - 8y - 125y

9x + 1 - 69y

8 0
3 years ago
. If Henry plays both games conservatively (CC), find the probability that Henry will earn
larisa86 [58]

Answer:

a)  2/2 + 2/2 = 2

b)  2/2 + 1/2  = 3/2

c)  2/2 + 0/2  = 1

d)  0/2 + 0/2 = 0

Step-by-step explanation:

a) 2 points :  2/2 + 2/2 = 2    

            if henry wins both games than we get  probability =2

b) 1  1/2 or 3/2 :  2/2 + 1/2 = 3/2

             if henry wins one game and tie another game  we get probability =3/2

c) 1 point:  2/2 + 0/2 = 1

              if henry wins one game and loose second game, we get                                                       probability 1

d) 0 points: 0/2 + 0/2 = 0

                 if henry loose both games we get probability 0

4 0
3 years ago
Read 2 more answers
Solve the inequality 3x^2 + 10x - 8 &lt; 0​
Ksivusya [100]

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

8 0
3 years ago
Which expression is equivalent to 5x + 3y - 2x?<br><br> 3x<br> 6x<br> 3x + 3y<br> 7x + 3y
Tcecarenko [31]
The answer to the question is:

3x + 3y
4 0
3 years ago
Read 2 more answers
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