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kakasveta [241]
3 years ago
14

Write the sum using summation notation, assuming the suggested pattern continues.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

Sum of the sequence will be 648

Step-by-step explanation:

The given sequence is representing an arithmetic sequence.

Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6

3 - (-3) = 3 + 3 = 6

Since last term of the sequence is 81

Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence

T_{n}=a+(n-1)d

where a = first term of the sequence

d = common difference

n = number of terms

81 = -9 + 6(n - 1)

81 + 9 = 6(n - 1)

n - 1 = \frac{90}{6}=15

n = 15 + 1 = 16

Now we know sum of an arithmetic sequence is represented by

\sum_{n=1}^{n}(a_{n})=\frac{n}{2}(a_{1}+a_{n})

Now we have to find the sum of the given sequence

S_{16}=\frac{16}{2}[-9 + (16-1)6]

              = 8[-9 + 90]

              = 8×81

              = 648

Therefore, sum of the terms of the given sequence will be 648.

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DedPeter [7]

The probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

Total number of outcomes = C(25, 2) = 300

Total number of favorable outcomes = C(20, 2) = 190

Probability = 190/300 = 19/30 or

= 0.63

Thus, the probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

Learn more about the probability here:

brainly.com/question/11234923

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3 0
2 years ago
Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough
Brilliant_brown [7]

Answer:

0.488

Step-by-step explanation:

Add 0.2+0.16+0.128+0.512 which is 1

Then subtract 0.512 and you get 0.488

I know there is probably a simpler way but this is how I did it

3 0
3 years ago
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You will write a procedural page explaining how to find the volume of a prism. This must be done in complete sentences and using
Alecsey [184]

the volume of a prism is v=ahh, where b is the base and h is the height. The base of the prism is a rectangle. Multiply the base by the height, and that is the volume.

8 0
3 years ago
Fiecare dintre cei 25 de elevi ai clasei a |||-a a realizat un jurnal al luni . Stiind ca pentru fiecare zi s-a folosit o pagina
sammy [17]
The question in English
<span>Each of the 25 students in the class has  made a journal on Monday. Knowing that every day a page was used and that the month is 31 days, find out how many pages the logs of all students.

</span>Let
x--------------> total students
y--------------> total days in a month
z--------------> total page used per one student in 1 day
T--------------> total page used per total students in 1 month

we know that
x=25 students
y=31 pages
z=1 page

T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pages

the answer is 775 pages


<span>the answer in Romanian
</span>
lăsa
x--------------> numărul total de elevi
y--------------> <span>total zile într-o lună
</span>z--------------> <span>pagina totală utilizată pentru un student în 1 zi
</span>T--------------> pagina totală utilizată pentru toți elevii în 1 lună
noi stim aia
x=25 elevi
y=31pagini
z=1 pagină

T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pagini

răspunsul este de 775 de pagini
5 0
4 years ago
(PLEASS HELP ME ITS EASY) A pie crust calls for two cups of butter for each three cups of flour elliette is making enough crusts
hjlf

Answer:

5 1/3 cups

Step-by-step explanation:

4 0
3 years ago
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