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
Mice21 [21]
3 years ago
8

What is the sum of the first five terms of a geometric series with a1=15 and r=1/3

Mathematics
2 answers:
Solnce55 [7]3 years ago
6 0

Answer:

15, 5, 5/3, 5/9, 5/27

Step-by-step explanation:

Recall, that the general form of a geometric series is

a, ar, ar², ar³, .........

where a is the first term and r is the ratio

It is given that the first time is 15, hence a = 15

also given that ratio is 1/3

hence the first 5 terms are:

15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4

simplifying each term gives

15, 5, 5/3, 5/9, 5/27

Talja [164]3 years ago
3 0

Answer:

605/27 or 22.41 to the nearest hundredth.

Step-by-step explanation:

The formula for the sum of n terms is

an = a1 *  (1 - r^n) / (1 - r)  where a1 = the first term and r = the common difference.

So here a5 =  15 * (1 - (1/3)^5) / (1 - 1/3)

= 605/27

= 22.41 to the nearest hundredth.

You might be interested in
Samuel orders four DVDs from an online music store. Each DVD costs $9.12. He has a 25% discount code, and sales tax is 6.5%. Rou
ra1l [238]
20.86 I think is the answer to the problem
6 0
3 years ago
Find the missing side lengths. All answers should be in fully simplified form.<br> a=?<br> b?
Alekssandra [29.7K]

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6

7 0
3 years ago
Read 2 more answers
5 t-shirts cost £38.75. <br> How much do 7 t-shirts cost?
antiseptic1488 [7]

Answer:

$54.25

Step-by-step explanation:

decide 38.75 by 5 to get what each cost then multiply by 7 to get your answer

4 0
3 years ago
Read 2 more answers
Solve the following system of equations:
antoniya [11.8K]
I think the answer is B
8 0
3 years ago
Read 2 more answers
How much would 180 pens cost if bought in boxes of 12, each box costing $5.80?
harina [27]
87 DOLLARS IS THE ANSWER

7 0
3 years ago
Read 2 more answers
Other questions:
  • How do I get the frequency and number where do I start
    9·1 answer
  • How do I solve absolute value equalities? <br> 4| n+8 | = 56
    8·1 answer
  • How many tens are there in 432.
    9·2 answers
  • Solve the system algebraically. check your work. 2x + 5y = 10 2x + 3y = 6
    7·2 answers
  • Antonia picks one card from a set of three cards. The cards are a king (K), a queen (Q), and a jack (J). She then spins a spinne
    5·1 answer
  • A prism with a volume of 875 m³ is scaled down to a volume of 448 m³. What is the scale factor?
    5·1 answer
  • Roseanne is making chocolate chip cookies for dessert the recipe for one batch of chocolate chip cookies calls for 2 1/2 cups of
    14·1 answer
  • What is the ratio of the diameter of the orange
    9·2 answers
  • Fill in the blank <br> 30.030___30.03
    15·2 answers
  • Round 3 047 398<br> to the nearest 1 000 000
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!