3 years ago

GIVING BRAINLIEST!!!!!

Mathematics

1 answer:

Natali [406]3 years ago

7 0

Answer:

yyeep

Step-by-step explanation:

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The sum of 30 times (1/3)^(n-1) from 1 to infinity

sergeinik [125]

Let

$S_n=\displaystyle1+\frac13+\frac1{3^2}+\cdots+\frac1{3^n}$

Then

$\dfrac13S_n=\displaystyle\frac13+\frac1{3^2}+\frac1{3^3}+\cdots+\frac1{3^{n+1}}$

and

$S_n-\dfrac13S_n=\dfrac23S_n=1-\dfrac1{3^{n+1}}\implies S_n=\dfrac32-\dfrac1{2\cdot3^n}$

and as $n\to\infty$ , we end up with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{i=1}^{n+1}\frac1{3^{i-1}}=\lim_{n\to\infty}\left(\frac32-\frac1{2\cdot3^n}\right)=\frac32$

So we have

$\displaystyle\sum_{n=1}^\infty30\left(\frac13\right)^{n-1}=30\cdot\frac32=45$

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3 years ago

What’s the answer I’m truly confused and need to know

kkurt [141]

Answer:

dont know sry

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the chance of selecting a girls name from a hat if ther are 15 girls names and 5 boys names ?

myrzilka [38]

K so the chance is 15/20 or 3/4 or 75%

Hope that helped :) if u dont get it i can try to explain :)

8 0

4 years ago

Point C is the center of the circle. What is the measure of angle ACB if arc ADB measures 250 degrees?

NeX [460]

Around the outside of a circle measures 360°. If arc ADB measures 250°, then arc AB measures 360-250 which is 110°. Because point C is the center of the circle, then angle ACB is a central angle. By definition of an arc intercepted by an angle, they are the exact same measure in degrees. So if arc AB = 110, then the measure of the angle ACB also measures 110.

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3 years ago

Please help also with the questions on the picture, it's really urgent too...... Thank you✨<br><br>

tiny-mole [99]

2.(6-2)x180
=720
2x+2x+x+115+105+100=720
x=80
3.a)(n-2)x180=3960
n=24
b)3960/24=165
Exterior angle=180-165
=15

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4 years ago