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
Tom [10]
3 years ago
12

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,

how many terms are in this geometric series?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
8 0

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

You might be interested in
4. Express each percent as a decimal number and
il63 [147K]
A) 0.955 and 199/200
B) 1.40 or 1.4 and 1 2/5
C) 0.90 or 0.9 and 9/10
5 0
2 years ago
Read 2 more answers
Helppppppppp plsssssssssssssss
alexandr1967 [171]

Answer:

An apple, potato, and onion all taste the same if you eat them with your nose plugged

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many square roots exist for the number 9?
Nookie1986 [14]
Two squares root. Because 3 * 3 = 9 and -3 * -3 = 9.
4 0
4 years ago
Read 2 more answers
sharia has a full time job and earns 475$ each week but she starts looking for ways to increase her weekly earnings . sharia fin
Arlecino [84]

Answer:

12 hours

Step-by-step explanation:

Full time job:

Earning per week = $475

Part time job :

Earning per hour = $11

Number of working hours per week at per time job to increase weekly earning to atleast $600 ;

Let number of hours = h

Full time earning + earning per hour * (number of hours) ≥ 600

$475 + ($11 * h) ≥ 600

$475 + $11h ≥ 600

11h ≥ 600 - 475

11h ≥ 125

h ≥ 125 / 11

h ≥ 11.36

Hence, sharia will need to work for 12 hours per week

5 0
3 years ago
2. Find the slope of the line graphed below!<br> Remember<br> Rise<br> Run<br> 10
Ivenika [448]

Answer:

-1/3

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How do i simplify number 16?
    10·1 answer
  • A wooden board is leaning against a house
    13·1 answer
  • The length of a rectangle is six times its width.
    13·1 answer
  • Can you show us how to find the discriminant of the quadratic x^2 + 2x -2 =0
    9·2 answers
  • In the diagram g|| h, m&lt;1=(4x+36) and m&lt;2=(3x-3) <br><br> What is the measure of &lt;3
    13·1 answer
  • Solve the equation x^(2)-x=5x-25 over the complex numbers. Simplify the answer. Show your work.
    14·1 answer
  • PLEASE HELP GRADE IN MATH IS REALLY LOW IM STUPID. Question 1 (Multiple Choice Worth 5 points)
    8·1 answer
  • Which operation is the SECOND Step to solve this equation?<br><br> -6+ 5v= -21<br><br><br> PLS HELP
    5·1 answer
  • PLZ HELP ME!!!
    14·1 answer
  • How many pairs of twin prime numbers are there in 1 to 100​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!