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
liq [111]
3 years ago
5

The sum of the first 6 terms of a geometric series is

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

4

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

S_{6} = \frac{a(5^6-1)}{5-1}, so

\frac{a(15625-1)}{4} = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

You might be interested in
Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p
vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

                      Beginning     Interest   Payment   Ending Balance

1st month    sh. 100,000    sh. 1,000    sh. 10,000    sh. 91,000

2nd month    sh. 91,000       sh. 910    sh. 10,000     sh. 81,910

3rd month      sh. 81,910        sh.819    sh. 10,000    sh. 72,729

4th month    sh. 72,729       sh. 727    sh. 10,000    sh. 63,456

5th month   sh. 63,456       sh. 636    sh. 10,000    sh. 54,092

6th month   sh. 54,092       sh. 541     sh. 10,000    sh. 44,633

7th month   sh. 44,633       sh. 446    sh. 10,000    sh. 35,079

8th month  sh. 35,079        sh. 351     sh. 10,000    sh. 25,430

9th month  sh. 25,430       sh. 254     sh. 10,000    sh. 15,684

10th month sh. 15,684        sh. 157     sh. 10,000      sh. 5,841

11th month    sh. 5,841         sh. 58      sh. 5,899       sh. 0

Total interest paid =       sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

#SPJ1

8 0
2 years ago
Solve the equation : x^(2)+5=3(x^(2)-3)
Fittoniya [83]

Answer:

x = ± 2

Step-by-step explanation:

Given

x² + 5 = 3x² - 3 ( subtract x² + 5 from both sides )

0 = 2x² - 8 ( add 8 to both sides )

8 = 2x² ( divide both sides by 2 )

4 = x² ( take the square root of both sides )

x = ± \sqrt{4} = ± 2

6 0
3 years ago
How much icing is needed over the donut shown below (Diameter of 4in and 1.5in wide)
Dafna11 [192]
You use the formula C=2(3.14)r r is the radius and in this situation 2 so the answer will be 12.56
5 0
3 years ago
7. Find f(9) when f(x) = 12 (17 – 3x) *​
Radda [10]

Answer:

-120

Step-by-step explanation:

6 0
3 years ago
Abdul has 15 shirts to fold. Let n be the number of shirts he would have left to fold after folding f of them. Write an equation
andrew-mc [135]

Answer:

n + f = 15

Step-by-step explanation:

n + f = 15

n + (6) = 15

n = 15 - 6 (opposite side opposite sign)

n = 9

4 0
2 years ago
Other questions:
  • During a landslide, debris can travel down a hillside at speeds up to 200 miles per
    5·1 answer
  • 2 time something give u 625
    14·2 answers
  • Not sure what the answer is lol
    9·1 answer
  • If a figure is a parallelogram, then it is a rectangle.
    5·1 answer
  • max decides to use 700 rubber bands to make 8 balls. is it reasonable to say he would use about 90 rubber bands to make each bal
    15·1 answer
  • Henri and Talia are mixing paint for an art project. They mixed p liters of red paint, 0.6 liters of blue paint, and p – 0.4 lit
    12·1 answer
  • If a dress costs $27,000 when it is on sale for 10% off, what is its original cost?
    8·1 answer
  • F(x) = -4(x+3)+6(x+4)
    7·1 answer
  • Whitney has £12 pocket money.
    7·1 answer
  • write an equation for the line in standard form that passes through the following points (-2,-3) (-3,-6) ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!