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
ELEN [110]
3 years ago
10

Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)^n − 1.

Mathematics
2 answers:
Klio2033 [76]3 years ago
6 0

Answer:

-223948 is the sum of 7 terms.

Step-by-step explanation:

The given geometric sequence is in the form of T_{n}=-4.6^{n}-1

Therefore the sequence will be -25, -145, -865........(n =7)

Therefore sum of the seven terms = a.\frac{r^{n}-1 }{(1-r)}

sum = (-4).\frac{6^{7}-1 }{6-1}=(-4).\frac{(279936-1)}{(6-1)}=(-4).\frac{279935}{5}=(-4).55987=-223948

Sum of seven terms will be = -223948

Bumek [7]3 years ago
5 0
Now we know what the common ratio is, 6, and what the first term is, -4,
and our nth term is 7, since we're asked to do the sum
from 1 to 7.
S7= - 4(1-6(7)/(1-6))
=-223948
You might be interested in
Which graph represents this system?<br><br> 2 x minus 5 y = negative 5. y = two-fifths x + 1.
Softa [21]

Answer:

The answer is the first graph.

Step-by-step explanation:

I did it on edge. I got it wrong the first time because I used an answer from this question. Because of that, I reported it. Now I have the correct answer lol.

6 0
3 years ago
Read 2 more answers
Ben has a rectangular area 9 meter long and 5 meters wide he wants a fence that will go around it as well as grass sod to cover
fgiga [73]

I think the answer is A.

6 0
3 years ago
Simplify (-x^2 – 28x + 7) + (-7x^2 + 14x + 8).
Anon25 [30]

Add numbers with the same amount of variables

-x^2 + (-7x^2) = -8x^2

– 28x (+ 14x )= -14x

7 (+ 8) = 15

-18x² - 14x + 15 is your answer

hope this helps

6 0
3 years ago
What is the quatient of (×3+6×2+11×+6)÷(×2+4×+3​
lapo4ka [179]

Answer:

=21+11x

Step-by-step explanation:

3 0
3 years ago
Caroline is considering two video game rental plans. Plan A can be modeled with the equation C = 2n, and Plan B can be modeled w
meriva

Options

A. Caroline rents exactly 7 games each month.

B. Caroline rents exactly 6 games each month.

C. Caroline rents 6 or more games each month.

D. Caroline rents from 1 to 5 games each month.

Answer:

D. Caroline rents from 1 to 5 games each month.

Step-by-step explanation:

Given

Plan A:

C = 2n

Plan B:

C = n + 6

Required

Which options justifies A over B

The solution to this question is option (d).

In option d, n = 1,2,3,4,5

When any of the values of n is substituted in plan A and B, respectively; the cost of plan A is cheaper than plan B.

This is not so, for other options (A - C)

To show:

Substitute 1 for n in A and B

Plan A:

C = 2n  = 2 * 1 = 2

Plan B:

C = n + 6 = 1 + 6 = 7

Substitute 5 for n in A and B

Plan A:

C = 2n  = 2 * 5 = 10

Plan B:

C = n + 6 = 5 + 6 = 11

<em>See that A < B</em>

8 0
3 years ago
Other questions:
  • Jonah studied for 3 hours longer than sierra he also studied for 3 times as many hours as william. these relationships are shown
    7·1 answer
  • What is the length of BE?
    8·2 answers
  • Which package has the lowest cost per ounce of rice ( 12, 18, 7)
    7·1 answer
  • how can you tell whether a solution of a polynomial equation is a repeated solution when the equation is written in factored for
    15·1 answer
  • Plz help its late !?!?
    11·1 answer
  • 5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find th
    5·1 answer
  • 3, -2, -7,...<br> what is the common difference of this arithmetic sequence
    6·1 answer
  • The sum of Scott's age and Greg's age is 33. If Greg is represented by g, Scott's age is represented by
    14·1 answer
  • Can sum1 help me pls
    15·2 answers
  • The Lars family has a moisture farm on the planet Tatooine. They owned 5 acres of land. They sold 2/7 of their land to the Tuske
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!