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
svetoff [14.1K]
3 years ago
11

Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

\sum_{n=0}^{\infty}5(-3)^n

This corresponds with the option:

<u>summation of five times negative three to the power of n from n equals zero to infinity</u>

You might be interested in
Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):
Rus_ich [418]

Answer:

The phase shift:

1 unit to the right and 1 unit up

Step-by-step explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right

5 0
3 years ago
Read 2 more answers
Two fourth is _____________ pieces of the whole
sweet-ann [11.9K]
1/2 pieces of the hole because you can simplify 2/4 by dividing it by 2 and you'll get 1/2
7 0
3 years ago
I need help on this question
storchak [24]
It’s the third one.. I think
7 0
3 years ago
Read 2 more answers
Here are the scores for landing an arrow in the colored regions of the archery target.
Vladimir [108]

Answer:

not enough information

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is/are the x-intercept(s) of this quadratic function f(x) = (x - 3)(x - 2)?
hoa [83]
Use the zero product property
x - 3 = 0, and x - 2 = 0
x = 3, and x = 2
Solution: (3,0) and (2,0)
6 0
2 years ago
Read 2 more answers
Other questions:
  • The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
    12·1 answer
  • What is the height if the cylinder?
    11·1 answer
  • The CEO of Millennium Dairy Product, a small venture among 10 partners each having 100,000 shares, sought to raise an additional
    5·1 answer
  • I NEED AN EXPLANATION!!!
    7·1 answer
  • A bucket is sold at a profit equal to one - fifth of its cost price find profit percentage ​
    12·1 answer
  • Help please!! i’m confused
    9·1 answer
  • Which equation represents a line which is parallel to x=0? <br>y=5<br>x=4<br>x=1/4y<br>x=−4y​
    8·1 answer
  • Ms Rochelle wants to put 29 students into groups of 6. How many groups of 6 can she make ?
    5·1 answer
  • A = 6, b=4, c = 8, and d = 5<br><br> (a + 1)(a²-a + 2)
    15·1 answer
  • What is 1000+1000-2000​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!