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Arada [10]
3 years ago
7

Find the nth term of this quadratic sequence 4 7 12 19 28

Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer: 84


Step-by-step explanation:

from 4 to 7 , they added 3

from 7 to 12 they added 5

from 12 to 19 they added 7

from 19 to 28 they added 9

3, 5, 7, 9.... They are simply adding odd numbers to each number. So after 9 would be 11, so you add 11 to 28 and get 39, and so on...

39 + 13= 52

52 + 15 = 67

67 + 17 = 84

84 is the ninth term, so that is your answer.  



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Answer:

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Step-by-step explanation:

Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.

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y = 3x -2~~~.....(i)\\\\y = 2x-5~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\3x-2 = 2x -5\\\\\implies 3x -2x = -5+2\\\\\implies x = -3\\\\\text{Substitute}~ x =-3,~ \text{in equation (i):}\\\\y = 3(-3) -2 = -9 -2 = -11\\\\\text{Hence,}~ (x,y) = (-3,-11)

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