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
Allisa [31]
3 years ago
12

Use the formula to evaluate the series -3 + 6 - 12 +24 - ...-az.

Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

Your sum = (-2)^{z}  -  1  

S = ( (-2)^n  - 1),  If you let n = z,  then   S = (-2)^z  - 1

Step-by-step explanation:

I can use a formula to find the sum of the first  n  terms.

we have   -3, 6, -12, 24, ... etc.

common ratio = r = -2

first term = -3

a_1 = -3

Then:   a_n =  a_1 * r ^(n -1)

a_n = (-3) * (-2)^(n - 1)    is the general formula for the nth term

Sum of first n terms = S =   a_1 *  (r^n   -  1) / (r - 1)

so...

S = (-3) * ((-2)^n  - 1 )/ (-2 - 1)

which simplifies to

S = (-3) *((-2)^n - 1) / (-3)

S = ( (-2)^n  - 1)

If you let n = z,  then   S = (-2)^z  - 1

You might be interested in
Given that m2(n-l) m=-2 and n=3/4​
DanielleElmas [232]

Answer:

when m= -2 and n=3/4.

-2^2.(3/4-1).

-4(-1/4)

=1.

8 0
3 years ago
A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find th
-Dominant- [34]

Answer:

The length and width of the parking lot is 78 meters and 114 meters respectively.

Step-by-step explanation:

Given;

Perimeter of the parking lot = 384\ m

Solution,

Let the width of the parking lot be x.

Then, according to question length = (x-36).

The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

perimeter=2\times(length+width)

Now substituting the values, we get;

384=2\times(x-36+x)\\\frac{384}{2}=(2x-36)\\192=2x-36\\192+36=2x\\2x=228\\x=\frac{228}{2}= 114

Width = 114\ m

Length = x-36=114-36=78\ m

Hence the length and width of the parking lot is 78 meters and 114 meters respectively.

6 0
2 years ago
Does somebody know how to find area of a trapizoid???
motikmotik

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

5 0
1 year ago
Read 2 more answers
Subtract one-third from 8 times b
steposvetlana [31]

i think the answer is 1/3 from 8x 6 =-46.7 i think

6 0
3 years ago
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
2 years ago
Other questions:
  • mariana saved $80 from her babysitting job she wants to buy some shirts and pants that on sale at her favorite store for$17 each
    14·2 answers
  • PLEASE HELP!!! you work a part-time job earning 6.80/hr with tips that average 2.30/hr you work 20 hr/wk and your deductions are
    10·1 answer
  • A phone company uses the equation y = 0.15x + 10 to find y, the monthly charge for a customer sending x text
    7·1 answer
  • Needs Clarification Please! Explain how the graph of each given function is a transformation of the graph of y = x^2
    13·1 answer
  • Four people are painting a house. Max paints 18 of the house, Shen paints 14%, Jake paints 0.12, and Todd paints 0.2. Which choi
    8·2 answers
  • NEED HELP THIS IS MY LAST QUESTION (WRONG ANSWERS GET BLOCKED)
    5·1 answer
  • Plzzz I need help this is due today at midnight I have 30 min left plzzz help you will earn 50 points plzz help quick Loan Term
    12·1 answer
  • FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 17<br><br>11 , 10<br>2 ,23<br>19 ,2​
    6·1 answer
  • Help 20 points!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • Find the distance between the pair of points: (-3,-6) and (1,2).
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!