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mixas84 [53]
3 years ago
14

2,5, 25/2, ... find the 10th term

Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

The  10^{th} term of the given sequence

t_{10} = \frac{5^{9} }{2^{8} }

Step-by-step explanation:

<u>Step(i):-</u>

Given sequence   2 , 5, \frac{25}{2}

First term    a = 2

The difference of given geometric sequence

    d = \frac{r_{2} }{r_{1} } = \frac{5}{2}

<u><em>Step(ii):-</em></u>

The  n^{th} term of the given sequence

t_{n} = ar^{n-1}

The  10^{th} term of the given sequence

t_{10} = (2)(\frac{5}{2} )^{10-1}

t_{10} = (2)(\frac{5}{2} )^{9}= \frac{5^{9} }{2^{8} }

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ElenaW [278]

The answer is B. 83,425

3 0
2 years ago
Help please!! im stuck
Lady_Fox [76]

Answer:

<u>No</u>

Step-by-step explanation:

3/5 or 3 ÷ 5 = 0.60

6/7 or 6 ÷ 7 = about 0.8571

these two numbers/decimals are obviously not the same, making them inequivalent

7 0
2 years ago
The absolute deviation for 3 is
luda_lava [24]

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Find the sum of the data values, and divide the sum by the number of data values.

Find the absolute value of the difference between each data value and the mean: |data value – mean|.

Find the sum of the absolute values of the differences.

Divide the sum of the absolute values of the differences by the number of data values.

3 0
3 years ago
Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each custome
rjkz [21]

The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.

<h3>Test Statistic</h3>

The test statistic can be calculated using the formula below

t = \frac{x-\mu}{\sigma / \sqrt{n} }

Solving for the mean and standard deviation, we can substitute the values into the above equation which will be

t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274

<h3>P-Value</h3>

Using the data from the test statistic, we can calculate the p-value of the data

p-value = p(z < 6.274)= 0.0001 = 0.00

From the calculation above, the test statistic and p-value of the given data are

  • 6.274
  • 0.0001

Learn more on test statistic and p-value here;

brainly.com/question/4621112

3 0
2 years ago
The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?
Bess [88]

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes        2n

----------------------------- = -----

Number of quarters     14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

7 0
3 years ago
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