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Lera25 [3.4K]
3 years ago
12

Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

Mathematics
2 answers:
vazorg [7]3 years ago
8 0
\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)
ehidna [41]3 years ago
5 0

The answer is D. −7,812

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The difference between -7 and a number x is no more than -2/3
Troyanec [42]

Answer:

Pregunta muy difícil, no creo que pueda resolver este amigo.

Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...

8 0
3 years ago
Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

6 0
1 year ago
Math help. you could just answer the inequality and I can do the rest but it would be helpful you you could answer both.
REY [17]

Answer:

Answer is first line

Step-by-step explanation:

-7(x+9) >= 37+3x

Going to solve for x:

-7x - 63 >= 37 + 3x

-7x - 3x >= 37 + 63

-10x  >= 100

x <= 100/-10       (notice the change in equality because we divided by negative)

x <= -10

7 0
2 years ago
Fourteen more than a number is eighteen.
AVprozaik [17]

Answer: 4

Step-by-step explanation:

18-14=4

3 0
3 years ago
The game of european roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. a ball is spun onto the wh
Dafna11 [192]
R u supposed to multiply this or divide
5 0
3 years ago
Read 2 more answers
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