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ExtremeBDS [4]
2 years ago
11

the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the seque

nce is 20. find the 6th term of the sequence
Mathematics
2 answers:
stealth61 [152]2 years ago
7 0

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

alex41 [277]2 years ago
4 0

Answer:

54

Step-by-step explanation:

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Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average
dusya [7]

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

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Average amount spent per person on health care = Total health care cost in US / Population in US

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Approximately,

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You want to buy a tent in the shape of a pyramid. The rectangular base is 35 square feet, with a height of 4 feet. What is the v
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