1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seropon [69]
3 years ago
7

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

S_5=\dfrac{170}{9}

Step-by-step explanation:

Given that,

The sum of first n term of a sequence isS_n=20-\dfrac{10}{2n-1}

We need to find the sum of the first 5 terms.

Put n = 5,

S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}

So, the sum of first 5 terms is equal to \dfrac{170}{9}.

You might be interested in
A group of friends wants to go to the amusement
Zepler [3.9K]

Answer:

The maximum amount of people that can go to the amusement park is 15.

Step-by-step explanation:

First you create an equation to represent the question

8.75+25.75x≤420

You put the less than or equal to sign because 420 is the maximum amount of money.

Now you just solve the equation.

25.75x≤420-8.75

25.75x≤411.25

x≤411.25/25.75

x≤15.9708738

Then you have to round down because you cant have .9 of a person.

So x≤15

Then, Check your solution

8.75+(25.75 x 15)≤420

8.75+386.25≤420

395≤420

That is true. But to make sure that is the maximum add another 25.75

395+25.75≤420

420.75≤420

This is equation is false so, our answer is correct.

The maximum amount of people that can go to the amusement park is 15.

5 0
2 years ago
Does anyone know the answers to these blank questions?
Bas_tet [7]

Answer:

h = 21

n = 60

p = 7

4 0
2 years ago
3.4 is what percent of 4.25?<br><br> Enter your answer in the box.
Masteriza [31]

Step-by-step explanation:

100% = 4.25

1% = 100%/100 = 4.25/100 = 0.0425

how many % are 3.4 ?

we find this by calculating how often 1% (0.0425) fits into 3.4.

3.4 / 0.0425 = 80 %

6 0
2 years ago
23 POINTS HERE PEOPLE
SOVA2 [1]

Hello!  

<h2>Answer: </h2>

23. 138 people voted for Nyemi, 69 people voted for Luke, and 23 people voted for Natalie.

24. Reina did not ride 11/16 of the rides.

<h2>Explanation:</h2>

23:

3 ÷ 5 = 0.6

230 × 0.6 = 138

230 × 0.3 = 69

230 × 0.1 = 23

24:

We know that Alberto rode 5/8 of the rides at the park, and Reina rode half of this.

5/8 × 1/2 = 5/16

16 - 5 = 11

8 0
3 years ago
Read 2 more answers
Hector invests $800 in an account that earns 6.94% annual interest compounded
lapo4ka [179]

Answer:

add all together then subtract by yhe original numbers so in this on it will be 4

8 0
3 years ago
Read 2 more answers
Other questions:
  • Describe the steps you could use to graph any function.
    14·1 answer
  • I need help again please
    14·2 answers
  • What does 3,146 round to nearest thousand
    9·1 answer
  • Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28
    7·1 answer
  • SOMEONE PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
    5·1 answer
  • I need help (please show your work)
    6·1 answer
  • What is the COMMON DIFFERENCE of the following sequence: 10, 0, -10,
    9·1 answer
  • 34 is 60% of what number?<br><br> 34w= <br><br> Question 2<br> w= <br> .
    7·2 answers
  • Which expression is equivalent to 4-x-x-x-x
    14·1 answer
  • Which expressions are equivalent to 2(4f + 2g)?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!