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Alex_Xolod [135]

2 years ago

6

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1 answer:

Helga [31]2 years ago

6 0

Answer:

i would love to help

Step-by-step explanation:

but i dont get what this is =-=

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(15-16) Consider the Infinite Geometric Series:

vodka [1.7K]

15 Answer: S₁ = 1 S₂ = 4 S₃ = 13 S₄ = 40 Sum = NO

<u>Step-by-step explanation:</u>

1 + 3 + 9 + 27 + ... $\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}$

16 Answer: $\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}$

<u>Step-by-step explanation:</u>

$\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}$

$\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}$

5 0

2 years ago

Write each expression in exponential form and find its value 1/6*1/6*1/6*1/6

olga55 [171]

Answer:

1/6^4.

Step-by-step explanation:

Multiply denominators.

6*6*6*6 = 1,296

Your answers are 1/6^4 and 1/1296.

3 0

3 years ago

The side of a rhombus is 15 centimeters long, and the length of its longer diagonal is 24.6 centimeters. Find the area.

Mekhanik [1.2K]

<span>A = 175.03.
</span>
The area of a rhombus is found by multiplying 1/2 <span>by the </span>diagonal<span> by the </span>other diagonal<span>.</span>

4 0

2 years ago

Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. There are

ch4aika [34]

Answer: There are $198$ children at the circus show.

Step-by-step explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that $\frac{1}{4}$ of the spectators are men, we can find the remaining:

$x-\frac{1}{4}x=\frac{3}{4}x$

Since $\frac{2}{5}$ of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

$(\frac{2}{5})(\frac{3}{4}x)=132$

Solving for "x", we get:

$x=(132)(\frac{20}{6})\\\\x=440$

Therefore, we get that "c" is:

$c=440-\frac{1}{4}(440)-132\\\\c=198$

8 0

3 years ago

11, 16, 21, ...<br> Find the 44th term.<br> PLZ HELP

VashaNatasha [74]

answer : 226

difference : 5

‘0th’ term : 6

rule : 5n + 6

if n = 44

220 + 6 = 226

4 0

2 years ago

Read 2 more answers