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Vlad [161]
3 years ago
10

You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmat

ic or geometric. Is she correct or incorrect? Explain.
Mathematics
1 answer:
IgorC [24]3 years ago
4 0
The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2

First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.

Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
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Write an equation of a line in point-slope, slope-intercept, and standard form that has
Inga [223]

Answer:

(a) y + 4x - 14 = 0

(b) y = -4x + 14

(c) y + 4x = 14

Step-by-step explanation:

The formula for calculating the equation of line in point - slope form is given as :

y-y_{1}  = m(x-x_{1} )

where m is the slope

Given from the question :

m = - 4

x_{1} = 2

y_{1} = 6

Substituting into the formula , we have :

y - 6 = - 4(x - 2)

y - 6 = -4x + 8

y + 4x - 6 - 8 = 0

y + 4x - 14 = 0

Therefore :

(a) the equation of the line in point - slope form is y + 4x - 14 = 0

(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : y = -4x + 14

(c) the equation of line in standard form is ; y + 4x = 14

5 0
3 years ago
25% of 60 75% of 30 50% of 45.7<br> 50% of 60 100% of 22.5<br> 75% of 60 10% of 22.5
alexdok [17]

Answer:

25% of 60 is 15

75% of 30 is 22.5

50% of 45.7 22.85

50% of 60 30

100% of 22.5 is 22.5

75% of 60 is 45

10% of 22.5 2.25

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
At a bake sale there were 90 items sold total. If 42 of the items sold were cookies and the rest were brownies what is the ratio
kari74 [83]
Firstly, you do 90 - 42 to get the amount of brownies sold, which is 48. Then, you put 42 and 48 into a ratio like 42:48. After that, all you need to do is simplify to get 7:8.
5 0
3 years ago
Darren's rectangle measures 3 1/3 units by 3 1/3 units. What is its area?
Andrei [34K]

Answer:

11 1/9

Step-by-step explanation:

3 1/3 x 3 1/3

= 10/3 x 10/3

= 100/9

= 11 1/9

4 0
2 years ago
A baseball stadium sold some burgers. 2,806 were cheeseburgers. 1,679 burgers didn’t have cheese. How many burgers did they sell
kodGreya [7K]

Answer:

4485

Step-by-step explanation:

1679+2806= 4485

Hope this helps! :)

7 0
2 years ago
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