All categories

3 years ago

Find the sum of the geometric sequence. (1, 1/1, 1/4, 1/8, 1/16)

1 answer:

3 0

Hello :
<span>the sum of the geometric sequence. (1, 1/2, 1/4, 1/8, 1/16) is :
s = 1× (1-(1/2)^5)/(1-(1/2))=(1-(1/32)/(1/2) =(31/32)/(1/2) =31/16</span>

You might be interested in

Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.

Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is $5.5 \times 10^5$ .It is greater by smallest number by 500 times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form $a.bc.. \times 10^k$ exponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have $a^b$ base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}$

The given numbers are:

First number = $6.5 \times 10^3 = 6500$
Second number = $5.5 \times 10^5 = 550000$
Third number = $1.1 \times 10^3 = 1100$

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

$\dfrac{5.5 \times 10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500$

Thus, it is found that greatest number is $5.5 \times 10^5$ . It is greater by smallest number by 500 times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0

2 years ago

What is a decimal that is equivalent to the fraction ?<br><br> Enter the answer in the box. <br>

s344n2d4d5 [400]

Answer:

Answer is 0.44

Step-by-step explanation:

44/100=0.44

3 0

2 years ago

Read 2 more answers

Can anyone help with this ??

ANEK [815]

Oof why do you think of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am not a fan of 45372

4 0

3 years ago

7/10 of 120 and show work pls

slavikrds [6]

When it says 7/10, it actually means 70%, so you have to find 70% of 120.
<span>
70 % of 120
= 70% x 120
= (70/100) x 120
= (8400/100)
= 84

Answer: 84</span>

8 0

3 years ago

The radius of a circle is 5 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

Lana71 [14]

10÷((22/7)×5^2))
=0.127

6 0

3 years ago