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Romashka-Z-Leto [24]
4 years ago
10

Find the sum of the infinite series1/3+4/9+16/2764/81... if it exists.​

Mathematics
1 answer:
nata0808 [166]4 years ago
8 0

Answer:

It does not exist.

Step-by-step explanation:

If we divide the second term by the first, 3rd by the 2nd and the 4th by the 3rd we get a constant result 4/3.

So this is a Geometric Series with common ratio r = 4/3 and a1 = 1/3.

As the common ratio is greater than 1 the series diverges ( continues to  get bigger) so there is no sum to infinity. It just goes on getting bigger and bigger without bounds.

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Which rule would best describes this pattern 8,4,10,6,12,8,14
irinina [24]

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

3 0
3 years ago
Simply the equation 3m + ( m + 5 )
Elena L [17]

Answer:

4m+5

Step-by-step explanation:

7 0
3 years ago
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Suppose a basket of goods and services has been selected to calculate the cpi and 2014 has been selected as the base year. in 20
KATRIN_1 [288]
Consumer Price Index or also most commonly known as CPI is calculated through the equation,
                      CPI = (price at a certain year / price at base year) x 100
Since, we have chosen 2014 as the base year, the denominator of the fraction will be $86. Calculating the CPI for 2015,
                       CPI = ($90/$86) x 100
                              = <em>104.65</em>
4 0
3 years ago
The engine of a car has a displacement of 305 cubic inches. what is the displacement in cubic feet? round your answer to 2 decim
ipn [44]
 solution
 1 inch = 2.54 centimeters
Therefore, to convert to cubic measurements
 (1 in)³ = (2.54 cm)³
 Thus;
1 in³ = 16.387 cm³
Hence 305 cubic inches will be equivalent to
  305 × 16.387
 = 4998.035 cm³

5 0
3 years ago
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Below is the graph of y=b^x. Find b.
omeli [17]
Y = <span>b^x

when x = 1
y = b^1
y  = b

Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5


To confirm this

From the graph,

When x = -1, y = 2
Since </span>y = b^x<span>
2 = </span>b^-1
2 = 1/b
2b = 1
b = 0.5

When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5

Therefore, it is conformed that b = 0.5

5 0
3 years ago
Read 2 more answers
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