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Evgen [1.6K]
3 years ago
6

What is the nth term rule of the quadratic sequence below? -5, -3,3, 13, 27, 45, 67, ...

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
5 0

Answer:

u_{n} = 2n^{2} -4n-3

Step-by-step explanation:

a +b + c = - 5    First term in sequence

3a + b = 2   Difference between first two terms

2a = 4         Difference between  the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)

2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so  b = -4; 2 - 4 + c = -5  → -2 + c = -5 so c = -3

Svetllana [295]3 years ago
4 0

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

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Answer:

Let the complaints by Industry be CbI

CbI               Frequency

Bank            26

Cable           44

Car               42

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b) Percentages

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Cable            22

Car                21

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d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

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Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

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Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

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Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

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d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

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