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vichka [17]
3 years ago
15

Find the 14th term of the following geometric sequence. 4, 8, 16, 32, ...

Mathematics
2 answers:
Softa [21]3 years ago
8 0

Answer:

32768

Step-by-step explanation:

an = (a1)(r^{n-1} )\\\\

where an stands for the number in the series,

a1 is the first number in the series

and n is the number or the order in which the number in the series we are looking at.  r is the ratio.

in this we case we are looking for the 14th number, where n = 14, the first number is 4 and r is the ratio they increase by a factor of 2. so r = 2.

Substituting all of these back into the equations would give us:

<h3>a14 = 4(2^{13} )</h3>

This will give us the answer.

<h2 />
xz_007 [3.2K]3 years ago
4 0

Answer:

65536

Step-by-step explanation:

multiply each term by 2 until you get to the 14th term. the 14th term is 65536

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Number 6 the y intercept is 50 because that’s the point where it crosses the y axis and 7 I believe it would be D= 200
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2 years ago
The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notic
pishuonlain [190]

The five-number summary and the interquartile range for the data set are given as follows:

  • Minimum: 24.
  • Lower quartile: 29.
  • Median: 43.
  • Upper quartile: 50.
  • Maximum: 56.
  • Interquartile range: 50 - 29 = 21.

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference between the third quartile and the first quartile.

In this problem, we have that:

  • The minimum value is the smallest value, of 24.
  • The maximum value is the smallest value, of 56.
  • Since the data-set has odd cardinality, the median is the middle element, that is, the 7th element, as (13 + 1)/2 = 7, hence the median is of 43.
  • The first quartile is the median of the six elements of the first half, that is, the mean of the third and fourth elements, mean of 29 and 29, hence 29.
  • The third quartile is the median of the six elements of the second half, that is, the mean of the third and fourth elements of the second half, mean of 49 and 51, hence 50.
  • The interquartile range is of 50 - 29 = 21.

More can be learned about five number summaries at brainly.com/question/17110151

#SPJ1

3 0
1 year ago
Need help ASAP please
viva [34]
It would be 3,8 
https://www.bing.com/videos/search?q=how+to+solve+a+slope+intercept+form&docid=608053494459401091&mi... 
Watch this video it helped to understand how to do these

4 0
2 years ago
ASAPPP
Vlad [161]

The interest she would pay is $694.40.

<h3>What is simple interest?</h3>

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.

<h3>What interest does she pay? </h3>

Simple interest = principal x time x interest rate

$6200 x 4 x 0.028 =  $694.40.

To learn more about interest, please check: brainly.com/question/26164549

3 0
2 years ago
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