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ExtremeBDS [4]
3 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]3 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]3 years ago
4 0

Answer:

54

Step-by-step explanation:

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viva [34]
So, if we look at the number pattern, we can see the numbers go up by 4.

The rule is Add 4.

So, to find the next two terms, we would add 4 to the last number shown, which is 15.

15 + 4 = 19

19 + 4 = 23

So, the next two terms are →19←
 and →23←.

Glad I could help, and good luck!

AnonymousGiantsFan
5 0
3 years ago
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Madison is baking party favors she wants to make enough favor so each guest gets the same number of favors she knows there will
iris [78.8K]

Answer:

It would be 24

Step-by-step explanation:

6: 6, 12, 18, 24

8: 8, 16, 24

The least common number is 24, so she should make at least 24.

4 0
4 years ago
Geometry, any idea?
Pepsi [2]

Answer:

8

Step-by-step explanation:

15x-31+9×+11+×=180

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8

5 0
3 years ago
Describe the transformation of f(x) to g(x)
gulaghasi [49]

Answer:

D. f(x) is shifted up 1 unit to g(x).

Step-by-step explanation:

Just let's look at the y-intercept of each function.

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Also remember that a vertical shift of N units is written as:

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where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.

then we can write, for the particular value x = 0

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replacing the values

1 = 0 + N

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The correct option is:

D. f(x) is shifted up 1 unit to g(x).

6 0
3 years ago
I need help with this
EastWind [94]
I think you add the numbers together, and then divide by three
6 0
4 years ago
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