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
SSSSS [86.1K]
2 years ago
13

Find the sum of the first 9 terms of the geometric series: 3 + 21 + 147 + …

Mathematics
1 answer:
grin007 [14]2 years ago
8 0

Answer:

  20,176,803

Step-by-step explanation:

This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...

 Sn = a1·(r^n -1)/(r -1)

For a1=3, n=9, and r=7, the sum is ...

  S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803

The sum of the first 9 terms is 20,176,803.

_____

The first 9 terms are ...

  3 +21 +147 +1029 +7203 +

  50,421 +352,947 +2,470,629 +17,294,403

You might be interested in
Why did Euler enter the Paris Academy of Sciences Prize Problem competition ?
anzhelika [568]
He wanted the mathematical challenge
6 0
3 years ago
Read 2 more answers
One number is 3 less than a second number. Twice the second number is 12 more than 3 times the first. Find the two numbers.
Verdich [7]
6 and 3, 3 and 6, or 2 and 6
7 0
3 years ago
Solve for x. 39=3x simplify has much has you can
Sunny_sXe [5.5K]

Answer:

x=13

Step-by-step explanation:

Divide both sides by three to get rid of the three this makes x=13

6 0
3 years ago
Read 2 more answers
Your survey indicates the following favorite beverage choices: 20 milk, 13 water, 22 soda, 32 coffee. What percentage of custome
MaRussiya [10]
20+13=33 out of 33+22+32=87
33 out of (/) 87 = 33/87=0.379 or 0.38 or 38% :)
4 0
3 years ago
Read 2 more answers
Solve the simultaneous equations y=x+2 and x+y=3
nataly862011 [7]
So we get the solution as
(
5
,
23
)
(
−
2
,
2
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is 5 1/2 minus 3 1/4
    8·2 answers
  • Find the product of 4 2/7 x 3 1/2
    7·2 answers
  • What is the reciprocal of 7/g
    6·1 answer
  • I need help! and someone to tell me how to do it<br> step by step i have my exams tmr!
    10·2 answers
  • Talia bas 26 $1 coins, 20-cent coins, 50-cent coins. The number of $1 coins is 6 more than the number of 20-cent coins. The tota
    8·1 answer
  • What’s the equation to this graph
    11·1 answer
  • Question in picture please answer
    9·1 answer
  • arshad's father bought x sweets .(x-4)were eaten by children and 20 were left.how many sweets did his father bring
    8·2 answers
  • Anna would like to purchase a new bike that costs $205. She already has $31 saved. If she saves a maximum of $12 a week, the fol
    7·2 answers
  • What’s the x value of the equation 30= 5x
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!