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
andriy [413]
2 years ago
6

what is the sum of the first five ferms of a geometric series with a1=10 and r=1/5? express your answer as an important fraction

in lowest terms without using spaces
Mathematics
1 answer:
mote1985 [20]2 years ago
6 0
The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number

Here you are given a=10 and r=1/5 so your equation is:

s(n)=10(1-(1/5)^n)/(1-1/5)  let's simplify this a bit:

s(n)=10(1-(1/5)^n)/(4/5)

s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:

s(5)=12.5(1-(1/5)^5)

s(5)=12.496

as an improper fraction:

(125/10)(3124/3125)

390500/31240

1775/142
You might be interested in
Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the follow
RoseWind [281]
If Mike is willing to pay no more than an effective rate of 8.000% annually, the loans that meet his criteria are loan X and loan Z. Of those two, the lowest would be loan X.  I hope the answer will help you :)
8 0
3 years ago
Read 2 more answers
Expertsss/aceee plzzz helpppp quickkklyyyy (81% complete a couple more to go)
Mnenie [13.5K]
I believe the answer is the first one
6 0
3 years ago
8x + 11 = 2(4x - 7) + 25<br> Step by step please!
Dimas [21]

Step-by-step explanation:

8x + 11=2(4x-7) + 25

8x + 11 = 8x - 14 + 25

8x + 11=8x- 14 + 14 +25 + 11

8x-8x + 11 -11 = 14 + 25 + 11

8x-8x =14 + 25 + 11

X = 50

3 0
2 years ago
The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determin
Oksana_A [137]

Answer:

um hola

Step-by-step explanation:

7 0
3 years ago
Write an expression that is equivalent to 3y − 9.
dybincka [34]

Answer:

3(y-3)

Step-by-step explanation:

just factor out the greatest common factor

7 0
3 years ago
Other questions:
  • Can anyone who has the time help me with this question please??
    9·1 answer
  • Cindy bought 1/4 pound of sliced chicken and 7/4 pound of sliced turkey about how did she have in all
    7·1 answer
  • Sarah cut off 1/8 of a 48 inch piece of ribbon. Jane cut off 1/9 of a 36 inch piece of ribbon. they compare their cut pieces. wh
    11·1 answer
  • 8+2=16106 what does 5+4 equal?
    11·1 answer
  • WHAT THREE EQUAL NUMBERS COULD YOU ADD TO GET 180
    5·2 answers
  • Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
    12·1 answer
  • One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. How much does on
    5·1 answer
  • Solve by elimination: 3y-4x=29<br> 2y+5=4
    11·1 answer
  • Y=4x-2 fill in the table using this function rule
    6·1 answer
  • Use the discriminant to describe the roots of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!