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Thepotemich [5.8K]
3 years ago
8

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

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

second sum

Step-by-step explanation:

Note the given terms are perfect cubes, that is

343 = 7³

512 = 8³

729 = 9³

1000 = 10³

The sequence continues in this way as indicated by the dots ......

The first term is 343 and occurs when n = 7

The sequence is infinite, thus can be expressed as

∑ n³ from n = 7 to infinity

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The sum of three consecutive numbers is 45. What is the<br> largest of these numbers?
Arturiano [62]

Answer:

14,15,16

Step-by-step explanation:

a+a+1 +a+2=45

3a+3 =45

3a=45-3

3a=42

a=42:3 =14(the first number

14+1=15 (the second number

14+2=16 (the third number, the largest number

8 0
2 years ago
I NEED HELP!!!!!In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
rusak2 [61]

The given functions are

f(x)=3.5^x

h(x)=1.5^x

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

g(x)=\pi ^x

Option D) is the right answer

5 0
3 years ago
Please help with these questions... I've been trying to figure them out for like twenty minutes and at this point I just don't h
vlada-n [284]

Answer:

1. y=2x^2-8X-1

2. y=-6x^2+36x-63

3. y=-3x^2+18x-34

4. y=9x^2+54x+76

5. y=-x^2+8x-22

6. y=6x^2-48x+90

7. y=8x^2+16x+5

8. y=2x^2-8x+1

Have a great day :)

3 0
2 years ago
Find the distance between two points: (1,4) and (11,9)
Marina CMI [18]

Answer:

√125=5√5

here you go

5 0
3 years ago
A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability that the
mamaluj [8]

Answer:

P(blue)=37.5\%

Step-by-step explanation:

-Probability is the likelihood of an event occurring.

-The total number of events is:

Total=3+6+5+2\\\\=16

-The total number of blue events is:

Blue=6

#Probability of a blue is thus calculated as:

P(Blue)=\frac{Blue}{Total}\\\\=\frac{6}{16}\\\\=0.375\\\\=37.5\%

Hence, the probability of choosing a blue marble at random is 37.5%

6 0
3 years ago
Read 2 more answers
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