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nataly862011 [7]
3 years ago
13

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 9 terms and select the correct answer below.

Mathematics
2 answers:
Lemur [1.5K]3 years ago
4 0

Answer:

Answer: A. -976563

Step-by-step explanation:

Sn=sum of the n terms of the geometric sequence.

a= the first term

r=the common ratio

n=numbers of terms.

Sn=a[(1-r^n)/(1-r)]

In this case:

a=-3

r=a₂/a₁=15/-3=-5

n=9

S₉=-3[(1-(-5)⁹) / (1-(-5))=

S₉=-3(1+1953125)/6)=

S₉=-3(1953126/6)=

S₉=-3(325521)

S₉=-976563

zavuch27 [327]3 years ago
3 0
Sn=sum of the n terms of the geometric sequence.
a= the first term
r=the common ratio
n=numbers of terms.

Sn=a[(1-r^n)/(1-r)]

In this case:
a=-3
r=a₂/a₁=15/-3=-5
n=9

S₉=-3[(1-(-5)⁹) / (1-(-5))=
S₉=-3(1+1953125)/6)=
S₉=-3(1953126/6)=
S₉=-3(325521)
S₉=-976563

Answer: A. -976563
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Answer:

x\approx 63.4^0

Step-by-step explanation:

In the given right triangle,

Measure of angle = x°

Opposite side of the angle = 12 units

Adjacent side of the angle = 6 units

By taking tangent ratio of the given angle,

tan(x°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

           = \frac{12}{6}

           = 2

x^0=\text{tan}^{-1}(2)}

x=63.43^0

x\approx 63.4^0

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2 years ago
Using the scale 1/2 inch = 100 miles, figure out the number
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Answer:

  50 miles

Step-by-step explanation:

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  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

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3 years ago
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Plug in what we know:

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Read 2 more answers
genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
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