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astra-53 [7]
3 years ago
15

                    

Mathematics
1 answer:
sattari [20]3 years ago
4 0

what's the problem??

it's blank



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What is the sum of the first seven terms of the geometric series? 3 12 48 192 ...
Ad libitum [116K]

Hence, the sum of the given GP is 16347

<h2>What is a series?</h2>

a series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers, but much more generality is possible.

<h3>How to solve?</h3>

we can identify from the given geomertric series.

first term = a(say) = 3

geometric factor of progression = r(say) = 4

Sum of the first 7 terms = a(\frac{r^n-1}{r-1})          ,where n is 7

Sum = 3(\frac{4^7-1}{3}) = 16348-1

       = 16347

Hence, the sum of the given GP is 16347.

to learn more about series: brainly.com/question/12578626

#SPJ4

8 0
2 years ago
What is -21.6 simplified?
S_A_V [24]

Answer:

108/5

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
One inch corresponds to 8 feet on an architects blueprint. Find the actual length of a wall represented by 4 1/2 inches on the b
agasfer [191]

Answer:

36 feet

Explanation:

8 feet : 1 inch = 36 feet : 4.5 inches

4 0
3 years ago
Data were collected on random specimens of Yellowfin tuna from 1991 and 2010. For the sample of 231 specimens of Yellowfin tuna,
Molodets [167]

Answer:

95% confidence interval: (0.325 ,0.383)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 231

Sample mean = 0.354 ppm

Sample standard deviation = 0.231 ppm

95% confidence interval:

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 4 and}~\alpha_{0.01} = \pm 1.97  

0.354 \pm 1.97(\dfrac{0.231}{\sqrt{231}} ) = 0.354 \pm 0.029 = (0.325 ,0.383)  

6 0
3 years ago
Half is a third of it.what is it?
Sati [7]
Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2

Now we just have a simple equation to solve:

1/3x = 1/2
x = (1/2) / (1/3)

Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore

x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5

To check this answer, test the statement. Half is a third of x, where x=1.5:

1.5 / 3 = 0.5 = 1/2
3 0
3 years ago
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