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
Andrej [43]
3 years ago
14

The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

  4

Step-by-step explanation:

The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...

  Sn = a1·(r^n -1)/(r -1)

for r=5 and n=6, this becomes ...

  15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)

Then we have ...

  1 = a1/4 . . . . . divide by 15624

  4 = a1 . . . . . . multiply by 4

The first term of the series is 4.

You might be interested in
Solve the problem<br> Show your work<br> 16.007<br> - 0.55<br> ----------
Roman55 [17]

Answer:

16.007 - 0.55 is 15.457

5 0
2 years ago
Read 2 more answers
I will give you brainliest if you right down the answer and explain it
liberstina [14]

to find the mid point,

m=-2+1/2,-5+3/2

=-1/2,-1

8 0
3 years ago
Find the perimeter of a rectangle that is 3 inches long and 4 inches wide.
katen-ka-za [31]

Answer:

14 inches

Step-by-step explanation:

Perimeter of a rectangle

= 2(l + w)

Given length L = 3 inches and

Width w = 4 inches

Perimeter = 2(3 + 4)

Simplify the bracket

2 x 7

14 inches

4 0
3 years ago
Read 2 more answers
Question 5
Aleksandr [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
Bas_tet [7]

Answer:

Step-by-step explanation:

Step 3

7 0
3 years ago
Read 2 more answers
Other questions:
  • How to find the first 4 terms of a sequence
    11·1 answer
  • Two spinners have been spun 100 times. Using the experimental probabilities below, what is the best guess for the number of time
    9·1 answer
  • While standing on a highway overpass, Jennifer wonders what proportion of the vehicles that pass on the highway below are trucks
    5·1 answer
  • Miss Anderson purchased a table and a rug for her living room as shown in the diagram how much greater is the perimeter of the r
    6·1 answer
  • Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc
    9·1 answer
  • The table shows conversions of common units of length.
    13·2 answers
  • Could use a bit of help here. I'm terrible at Math. ​
    8·2 answers
  • The average score of all golfers for a particular course has a mean of 70and a standard deviation of 5.Suppose 100golfers played
    14·1 answer
  • Please help , this is for my math test and i really need to pass it, i’ll give brainliest and a thanks , please this is importan
    15·1 answer
  • Ok so you guys i want to make an editing account but what should be the username
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!