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
Snowcat [4.5K]
3 years ago
15

What is the value of a1 of the geometric series? Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 12 (negative o

ne-ninth) Superscript n minus 1 Negative twelve-ninths Negative one-ninths 1 12
Mathematics
2 answers:
worty [1.4K]3 years ago
6 0

Answer:

12

Step-by-step explanation:

The given geometric series is

\sum_{n = 1}^{ \infty} 12( { -  \frac{1}{9} })^{n - 1}

We want to determine the first term of this geometric series.

Recall that the explicit formula is

a_{n} = 12( { -  \frac{1}{9} })^{n - 1}

To find the first term, we put n=1 to get:

a_{1} = 12( { -  \frac{1}{9} })^{1 - 1}

This gives us:

a_{1} = 12( { -  \frac{1}{9} })^{0}

a_{1} = 12(1) = 12

Therefore the first term is 12

skelet666 [1.2K]3 years ago
5 0

Answer:

12

Step-by-step explanation:

The last option, C is the answer. I just took the quiz :D

You might be interested in
It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, h
elena-14-01-66 [18.8K]

Answer:

Time machine one = 3.56

Time machine two = 4.56

Step-by-step explanation:

Let machine 2 do the job in x hours

Let machine 1 do the job in x - 1 hours.

The general formula for this problem is

Time = A*B/(A + B)

Givens

Time = 2 hours

B = x hours alone

A = x - 1 hours alone.

#################

x *( x - 1)

======= = 2

(x + x - 1)

(x^2 - x)/(2x - 1) = 2

x^2 - x = 2(2x - 1)

x^2 - x = 4x - 2

x^2 - 5x + 2 = 0

a = 1

b = - 5

c = 2

This gives 2 roots

x = 4.56

x = 0.43

The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.

Time for machine 2 is 4.56

The time for machine 1 is 3.56

Check

(A * B)/(A + B) = 2

A = 4.56

B = 3.56

Time = 4.56*3.56/(4.56 + 3.56)

Time = 16.2336/(8.12)

Time = 1.9992

The rounding error in the check comes from the rounding error in the times.  

4 0
3 years ago
(9+4c)+(2+3x) add timed so hurry!
Luba_88 [7]

Answer: 3x + 4c + 11

Step-by-step explanation: Combine like terms.

5 0
3 years ago
What is the value of the expression 10 − ( fraction 1 over 2 )4 ⋅ 48? (1 point)
OlgaM077 [116]

Answer:

Just want to ask if it is 10 - 1/2 × 4 × 48 right? If the expression is this then the answer is -86.

Hope this helps, thank :) !!

6 0
3 years ago
Which number is the greatest?<br> O 1.2<br> O 1.3<br> O 1.235<br> O 1.003
Vaselesa [24]

Answer:

Option 2 because in decimals, 1.3 will be the largest being that it is followed by the #3. (1.3)

Hope it helped!

8 0
3 years ago
What is -3/5 multiplied by 4/7?<br> Pls show answer with step by step answers explained pls
zheka24 [161]

Answer:

-12/35

Step-by-step explanation:

-3×4/5×7

-12/35

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the right form?
    14·1 answer
  • Is 2,6,8,12,16 the divisor of 64
    14·1 answer
  • The volume of the sun is 1.4 x 10 to the power of 18 cubic kilometers and the volume of the earth is 1.1 x 10 to the power of 12
    14·1 answer
  • Can Someone Please Help me
    12·1 answer
  • Becky took a quiz in science today. She answered 16 out of 25 correct. What is her score?
    8·2 answers
  • Simplify this algebraic expression.<br><br> y-3/3+12<br> A.y+11<br> B.y-5<br> C.y+13<br> D.y-11
    9·1 answer
  • Kenya exchanges $150 for British pounds (£). Suppose the conversion rate is £1 = $1.60. How many pounds should she receive?
    9·1 answer
  • What is the area i need help
    7·2 answers
  • What is 1 5/6 x 1 2/7
    6·2 answers
  • Question 2(Multiple Choice Worth 1 points)<br> (01.04 LC)<br><br> Solve for x: −2x − 4 &gt; 8
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!