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I am Lyosha [343]
3 years ago
10

The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term

then it would be 9. find the three terms of the series​
Mathematics
1 answer:
Ronch [10]3 years ago
5 0

Answer:

The terms are - 1, 7 and 15.

Step-by-step explanation:

Let the terms be a-d, a and a+d

ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.

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klemol [59]

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the following :

First term (a) = 3

Second term = - 6

third term = 12

Fourth term = - 24

We can obtain the common ratio of the series using the relation :

(2nd term/ 1st term) = (3rd term/2nd term) = (4th term/ 3rd term) =....

(-6/3) = (12/-6) = (-24/12)

-2 = - 2 = - 2

Further explanation can be found in attached picture

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3 years ago
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zimovet [89]

Answer:

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3 years ago
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The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we
Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

          $=\frac{1.82}{0.04}$

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0
3 years ago
The Red Rox have won 3 World Series titles in the last 11 years. At this rate, how long will it take them to win 20 World Series
Alex787 [66]

Answer:

73 1/3 years

Step-by-step explanation:

3 WST = 11 years              FInd the unit rate

1 WST = 11/3

20 WST =  220/3 or 73 1/3 years

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
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