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
Rus_ich [418]
3 years ago
10

Find the sum of the first 6 terms of 3 - 6 + 12 + …

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

S_6 = -63

Step-by-step explanation:

The sequence above is a geometric sequence.

The common ratio (r) = \frac{-6}{3} = \frac{12}{-6} = -2

The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: S_n = \frac{a_1(1 - r^n)}{1 - r}

a1 = 3

r = -2

n = 6

Plug in the values into the formula

S_6 = \frac{3(1 - (-2^6)}{1 - (-2)}

S_6 = \frac{3(1 - (64)}{1 + 2}

S_6 = \frac{3(-63)}{3}

S_6 = -63

You might be interested in
To expand the binomial expression (2x^3 + 3y^2)^7 using the binomial theorem, what should be substituted for the values of a and
alexandr402 [8]

Answer: no

Step-by-step explanation:

6 0
3 years ago
Help me with this please
kompoz [17]

Answer: (5.5 , -1.5)

19 + (-8) / 2 = 5.5

15 + (-18) / 2 = -1.5

8 0
2 years ago
What is the percent of 120 minus 94
lyudmila [28]
The correct answer is 26%
6 0
3 years ago
Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she
Sergeeva-Olga [200]
A) .10 d + .25 q = 7.75
B) d + q = 40

Multiplying B) by -.10
B)  -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75

Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75

Correct!!


6 0
2 years ago
Xiao bought ​ 4310 ​ gallons of gas that cost $2.50 per gallon.
Vikentia [17]

Answer:

$10775

Step-by-step explanation:

If 1 gallon of gas is $2.50, then the cost of 4310 gallons of gas will be:

4310 * 2.50

= $10775

Hope this answer was helpful!!

8 0
3 years ago
Read 2 more answers
Other questions:
  • Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8
    15·1 answer
  • Perform the indicated operation and write the result in the form a+bi. -9i(-9i+4)+3(8+8i)
    13·2 answers
  • Is the point (20,13) on this line? Explain your reasoning​
    8·2 answers
  • What is the slope represented by the following table?
    12·1 answer
  • Maya's standard deduction on her federal income tax return is $8350. If she paid $5980 in state taxes and $2430 in mortgage inte
    13·2 answers
  • PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!
    15·1 answer
  • Find the distance between the given points. Round to the nearest tenth.
    8·1 answer
  • Nicholas has decided to buy 1.5 pounds of Sour Patch Kids. How much will the Sour Patch Kids cost?
    10·2 answers
  • Replace the * with a monomial so that the trinomial may be represented by a square of a binomial:
    15·1 answer
  • What is tan 45°? 1 45° 90° A. 1/2 B. 1 C. 1/√2 D. √2 √₂ 2 45°​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!