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
cricket20 [7]
3 years ago
6

What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti

on in lowest terms without using spaces.
Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

  242/27

Step-by-step explanation:

Using the formula for the sum, you can fill in the given values and do the arithmetic.

  Sn = a1·(r^n -1)/(r -1)

  S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)

  S5 = 242/27

_____

Or, you can write the terms and add them up. The sum is ...

  6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27

You might be interested in
A boy makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How manny such cuboids will he need to form a cube?
ruslelena [56]

Answer:

Step-by-step explanation:

L.C.M. of 5,2=10

so it should be  of dimensions 10×10×10

it should have 5 cuboids in first row.

then it will make a cuboid 5×10×5

5 cuboids in the second row on top of first row .

Then it will make 5×10×10 cuboid

To make 10×10×10

double the cuboids  to make the length=10 and height=10..

so in all 20 cuboids are needed.

2 rows of 5 cuboids on the floor and 2 rows of 5 cuboids on the top.

in all 10 cuboids of  dimensions 5×2×5

so 9 more cuboids are needed to make a c

3 0
3 years ago
Erik pays 225 in advance on his account at the athletic club. Each time he uses the club , $9 is deducted from the account , wri
zhenek [66]

Answer:

225÷  9?

Step-by-step explanation:

3 0
2 years ago
If the diameter of a circle is 50 yards, the radius is what
mars1129 [50]

Answer:

25 yards

Step-by-step explanation:

radius is half of what the diameter is.

50 / 2 = 25

4 0
3 years ago
Read 2 more answers
URGENT! (Please give the correct answer!)
OlgaM077 [116]

By taking x as subject the formula becomes x = (v² - u²)/2a.

<h3>What is Equation?</h3>

An equation is a mathematical statement with an 'equal to=' symbol between two expressions that have equal values.

Here given equation:

      v² = u² + 2ax

     2ax = v² - u²

      x = (v² - u²)/2a

Thus, by taking x as subject the formula becomes x = (v² - u²)/2a.

Learn more about Equation from:

brainly.com/question/10413253

#SPJ1

5 0
2 years ago
Will mark brainliest
faust18 [17]

x^3 is strictly increasing on [0, 5], so

\max\{x^3 \mid 0\le x\le5\} = 5^3 = 125

and

\min\{x^3 \mid 0 \le x\le5\} = 0^3 = 0

so the integral is bounded between

\displaystyle \boxed{0} \le \int_0^5x^3\,dx \le \boxed{125}

8 0
2 years ago
Other questions:
  • Imagine that you have 5 blue socks and 5 brown socks in a drawer that are not paired up. How many socks must you take out from t
    14·1 answer
  • A - g(x) = |x-5|+5 <br> B - g(x) = |x-5| <br> C - g(x) = |x|+5 <br> D - g(x) = |x+5|+5
    7·1 answer
  • 621126.4862 divided by 126.48 ​
    11·2 answers
  • Anderson has $50 in his savings account. He deposits $5 every week. His father also deposits $20 into the account every time And
    14·1 answer
  • Find the slope of the line through the pair of points.<br> (1,15) and (-3,-6)
    10·1 answer
  • Please try your best, but with explanation! Use the screenshot provided!
    6·2 answers
  • The result of which expression will best estimate the actual product of
    13·1 answer
  • Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?
    7·1 answer
  • What is 2/5 x 1/4 Then Simplified Expression?
    15·1 answer
  • 9/10 + 3/100 plz hlp in dire need of answer
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!