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
Minchanka [31]
3 years ago
5

What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3?

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

242/27

Step-by-step explanation:

tresset_1 [31]3 years ago
6 0
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,

                                  Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
                                 S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96. 

You might be interested in
Express 81 as the sum of first nine consecutive odd numbers
matrenka [14]

Answer:

see explanation

Step-by-step explanation:

The sum of the first 9 consecutive odd numbers is

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

3 0
3 years ago
What is 4 60/72 as a decimal
Whitepunk [10]

Answer:

0.206897

Step-by-step explanation:

it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897

3 0
3 years ago
Read 2 more answers
Im solving variables -4y + 7 = -10y+37
Ulleksa [173]

Answer:

5

Step-by-step explanation:

move the terms

collect like terms

calculate

divide both side

8 0
2 years ago
Read 2 more answers
3.9 times 10 to the 20 power
Jobisdone [24]
3.9*10 = 39 then that to the 20 power is 6.626621133E31


Hope this helps!
5 0
2 years ago
Read 2 more answers
A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the
dangina [55]
PART A:

The given quadratic equation is 2x²-10x-8=0

The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c

From the given equation, we have
a = 2
b = -10
c = -8

Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164

The radicand is >0 hence the quadratic equation has two distinct roots

PART B:

4x²-12x+5 = 0

We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12

The pair of number is -2 and -10
Rewriting the equation 
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0

2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
6 0
3 years ago
Other questions:
  • Rashid picked a total of 420 strawberries in 5/6 of an hour write an equation to find how many strawberries Rashid could pick in
    7·1 answer
  • A company manufactured a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in we
    15·2 answers
  • 60,000 is ten times as much as
    14·2 answers
  • Is 7.6 repeating greater or less than square root 55
    13·2 answers
  • Can someone give me the workings out for this one please
    7·1 answer
  • Trevor sees 8 red birds.He sees 5 more red birds than blue birds. How many blue birds does trevor see?
    11·1 answer
  • 6.71/(1.15)^4 doesn't equal 5.73
    7·2 answers
  • -3 (3c + 5) = 2 (10 - c)
    13·1 answer
  • Whoever can help me with this will be my hero!
    7·1 answer
  • Expand the expression
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!