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Dimas [21]
3 years ago
13

Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ...

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0
This is a geometric series with first term 2 and common ratio -4. The general term of such a series (an) in terms of the first term (a1) and common rato (r) is written as
  an = a1*r^(n-1)

The sum is the sum of such terms.
sum=\sum\limits_{n=1}^{\infty}{2(-4)^{(n-1)}}
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HELP!!! CORRECT ANSWER NEEDED OR ELSE I FAIL ;-; STUDY ISLAND !!
Ket [755]

Answer:

  B.  Step 2 uses the associative property, and step 3 uses the commutative property.

Step-by-step explanation:

The associative property lets you group terms for addition any way you like. It appears that in Step 2, the grouping is ...

  4 + (1/6 + 3) + 5/6

The commutative property lets you change the order of any pair of terms involved in addition. It appears that in Step 3, the order of the terms within the group has been swapped.

  4 + (3 + 1/6) + 5/6

_____

<em>Comment on associative and commutative properties</em>

What applies to terms in addition applies to factors in multiplication.

5 0
2 years ago
In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a
Elis [28]

Answer:

$129 000/yr

Step-by-step explanation:

Weighted average is used to answer this question.

<em>total employees are 20</em>

10 employees make 80 000

<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)

6 employees make 150 000

<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>

4 employees make 220 000

<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>

<em />

<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20

<em />

<em>weighted average = </em>2580000/20

<em />

<em>Weighted average = </em>129 000

<em />

8 0
3 years ago
What is a real life example of trigonometric ratios
Brut [27]

Answer:

Trigonometry can be used to measure the height of a building or mountains

Step-by-step explanation:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

3 0
3 years ago
30 POINTS
vivado [14]
Centre= (-1,-2)
Radius=5
All working shown on photo

6 0
3 years ago
Help ASAP!!
nexus9112 [7]
The answer is 66 units
6 0
3 years ago
Read 2 more answers
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