If Sn=2^n-1

what's the expression of
Sn-1?​

Answers

Answer 1

Answer:

[tex]S(n-1)=2^{n-2}[/tex]

Step-by-step explanation:

Given that,

The value of [tex]S_n=2^{n-1}[/tex]

We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,

[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]

Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].


Related Questions

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?

Answers

Answer:

If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

:))

Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020

Answers

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?

Answers

Answer:

9/8

Step-by-step explanation:

.........................

What is the coefficient in the following expression?
5a– 7

Answers

5 is the Coefficient
the coefficient is 5

need help asap WILL GIVE BRAINLIEST

A researcher reported the results from a particular experiment to the scientist who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.18. Based on this p-value, what should the scientist conclude?

The test was not statistically significant because 2 × 0.18 = 0.36, which is less than 0.5.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 18% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 82% of the time.
The test was statistically significant because a p-value of 0.18 is greater than a significance level of 0.05.
The test was statistically significant because p = 1 − 0.18 = 0.82, which is greater than a significance level of 0.05.

Answers

Answer:

B

Step-by-step explanation:

I got it wrong but it showed me the right answer so, yea

In the figure to the right, what is the measure of angle DAC ?

I’m not going to show answer Options because I don’t want anyone to put something random

Don’t put links cs I’m not going to press it <3

Answers

Answer:

47 degrees

Step-by-step explanation:

i am super smart

Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

Answers

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

Answer? ................,,,,,,

Answers

Step-by-step explanation:

what is the formula for the whole surface area of a sphere ?

[tex]a = 4 \times \pi \times {r}^{2} [/tex]

that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.

but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.

in radians the arc length of that angle segment on the "equator" of the sphere

s = r×Theta

and the whole equator circumference is

c = 2×pi×r

so, the Theta'th part is then

r×Theta / 2×pi×r = Theta / 2×pi

we only need that part of the whole sphere surface area, so the formula would look like

[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]

=>

[tex]lune = theta \times 2 \times {r}^{2} [/tex]

I will give you Brainiest if you are right.

Answers

Just add the polynomials or combine like terms and you gets 3x+6

Answer:

C. 3x + 6

Step-by-step explanation:

x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =

= 3x + 6

Answer: C. 3x + 6

The radius of a circle is 6.1 millimeters. What is the circle's area?

Answers

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]

Find the Area of the Triangle

Answers

Answer:

50 squared m

Step-by-step explanation:

Volume for triangles is base x hight / 2

10 x 10 = 100 / 2 = 50

yoo please help me out

Answers

Answer:

70

Step-by-step explanation:

The answer is 187
U do 17 x 22 divided by 2 equals 187

Find the absolute value
|-7|

Answers

Answer:

7

Step-by-step explanation:

hello :

|-7| = - (-7) = 7

Answer:

the absolute value of l-7l is 7

hope it helps.

H
45
G
8
F
3
Ε
Find
cos FHE.

Answers

Answer:

no sé pero lo nesesito porfavor

Answer:

Its B. 4/5

Step-by-step explanation:

on edge 2020 :)

Question 5
A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on
a spin is calculated and given in the table.
©
1
3
4
5
Section
Probability
2
0.20
0.40
0.20
0.15
0.05
A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test?

Answers

Answer:

The correct answer is 100

A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)

Answers

Answer:

t = 1180 years

Step-by-step explanation:

We will solve this using the radioactive decay formula which is;

A = A_o × 2^(-t/h)

Where;

A = Amount of liquid remaining after time (t)

A_o = initial amount of liquid at initial time

t = time of decay

h = half-life of the liquid

We have;

A_o = 1(we assume it is 100% which is 1)

A = 0.02% = 0.0002

h = 96 years

Thus;

0.0002 = 1 × 2^(-t/96)

0.0002 = 2^(-t/96)

(-t/96)log 2 = log 0.0002

(-t/96) = (log 0.0002)/log 2

(-t/96) = -12.2877

t = 96 × 12.2877 (negative has canceled out)

t = 1179.6192

To the nearest year gives;

t = 1180 years

If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours

Answers

The correct answer for this problem is A.

The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Answers

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test

Answers

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

Find the perimeter X(-2,1) Y(4,3) Z(5,-1)

Answers

Answer:

17.728

Step-by-step explanation:

Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3

Answers

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

What are Corresponding Angles?

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

Learn more about corresponding angles on:

https://brainly.com/question/2009183

A cylinder has a volume of 659.4 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder?
(Assume = 3.14)

A.
42 cm
B.
2.1 cm
C.
8.4 cm
D.
21 cm

Answers

The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

Need help ASAP it’s due tonight and I don’t understand

Answers

Answer:

13 of August,

Step-by-step explanation:

All of them worked together at day number zero (August 1).

We know that Elvis works every 3rd day

So he will work at:

day 3, day 6, day 9, etc.

We know that Izzy works every 4th day, then she will work at:

day 4, day 8, day 12, etc.

We know that Janaisa works every 6th day, so she will work at:

day 6, day 12, etc.

We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.

To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:

3)

3*1 = 3

3*2 = 6

3*3 = 9

3*4 = 12

3*5 = 15

...

4)

4*1 = 4

4*2 = 8

4*3 = 12

4*4 = 16

...

6)

6*1 = 6

6*2 = 12

So we can see that 12 is a common multiple of the 3 numbers.

Then they will work together 12 days after August 1th.

That would be the 13 of August,

pls help this stuff is so hard to understand

Answers

Answer:

y = 0.5 (2)^x

Step-by-step explanation:

3rd option

you can plug in a coordinate point like (2, 2) to check this.

A high school student volunteers to
present a report to the administration about the types of lunches students prefer.
He surveys members of his class and records their choices. What type of sampling did the student use?
systematic random sampling
voluntary sampling
• convenience sampling
stratified sampling

Answers

Need this answer for a school paper

Answer:

convenience sampling

Step-by-step explanation:

Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.

Answers

Answer:

4 - 20 i

Step-by-step explanation:

you do stuff and you get 4 - 20 i

What is 103% of 127?

Answers

Answer:

130.81

Step-by-step explanation:

127 ⋅ ( 103/ 100 ) =130.81

What number is halfway between 0.36 and 0.48 on a number line?

Answers

Answer:

0.42

Step-by-step explanation:

they are both multiples of 0.06

think of it like 6 x 6= 36 and 6 x 8 = 48

6 x 7 = 42 would be halfway

Answer:

0.42

Step-by-step explanation:

To find the half, add da numbers and divide by 2. So 0.36 and 0.48 added together is 0.84. That divided by 2 is 0.42.

Find the surface area of the cone. Round answer to the nearest tenth.*

Answers

Answer:

628.319 rounded= 628.3

Step-by-step

need ko na po this now

please answer this question

thank you po​

Answers

Answer:

B.

Step-by-step explanation:

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