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
tester [92]
3 years ago
13

Find the sum to n terms of the series 0.6+0.66+0.666+.....................

Mathematics
1 answer:
RSB [31]3 years ago
8 0
<span>We have
</span>0.6+0.66+0.666+0.6666

Let's take 6 out from the series
6(0.1+0.11+0.111+0.1111+....

<span>Now multiply and divide by 9
</span>\frac{6}{9}(0.9+0.99+0.999+0.9999+....

\frac{6}{9}(1-0.1+1-0.01+1-0.001+1-0.0001+....&#10;\\&#10;\\\frac{6}{9}(1-10^{-1}+1-10^{-2}+1-10^{-3}+...

<span>all 1s add up to n
</span>\frac{6}{9}(n-\frac{1}{10}\times \frac{1-(\frac{1}{10})^{n+1}}{1-\frac{1}{10}})

You might be interested in
Simplify 20+4(3)÷(-8)
Mashcka [7]

The answer to this problem would be 12. If you need to show work just comment.

4 0
2 years ago
Read 2 more answers
Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,
alekssr [168]
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

3 0
2 years ago
Help me ASAP it’s a math test
expeople1 [14]

Answer:

I would say the last one, bc b Is negative correct?

4 0
3 years ago
 A garden is 3 yards 12 inches wide and 8 yards long. Write the ratio of the width to the length as a fraction in simplest form.
Kruka [31]
120/288 then you simplify that to 5/12.
5 0
3 years ago
Looking around a farm, the number of chickens is four times the number of pigs. If there are a total of 48 legs between the chic
Scorpion4ik [409]

Answer:

27

Step-by-step explanation:

4p+%2B+2c+=+78

4%2A12+%2B+2%2A15+=+78

48+%2B+30+=+78

78+=+78

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x drawing not to scale
    5·2 answers
  • Find the sum 9/16+10/13
    7·1 answer
  • Best explained and correct answer gets brainliest. D) 24
    13·2 answers
  • Bella has 6.3 kg of berries. she packs 0.35 kg of berries in each containers. then sells each container for $2.99. how much mone
    11·1 answer
  • PLS HELP I ONLY HAVE 6 MINS LEFT I WILL MARK BRAINLIEST
    11·1 answer
  • the table represent the consumer price index for a basket of goods and services for 3 consecutive years. calculate the inflation
    10·1 answer
  • Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a
    10·1 answer
  • Hi Plz help me with this 2 question
    14·1 answer
  • Please help............​
    5·1 answer
  • What is the value of n? 1/5=1/6+1/n
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!