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Alexxx [7]
4 years ago
7

The nth term of a sequence is given by 20-n^2 a) find the third term of the sequence b) which term in the sequence is the first

to have a negative value
Mathematics
1 answer:
ehidna [41]4 years ago
5 0

Answer:

The third term is 11.

The first negative term is the fifth term.

Step-by-step explanation:

If the nth term of the sequence is given by the expression 20-n^2, to find the third term, we just need to use the value of n = 3 in the expression:

20 - (3)^2 = 20 - 9 = 11.

To find which term is the first to have a negative value, we can solve the inequation 20 - n^2 < 0:

20 - n^2 < 0

n^2 > 20

n > 4.47

The first term to have a negative value is the fifth term:

20 - 5^2 = 20 - 25 = -5

You might be interested in
i have a problem im struggling with it says. is 6 a solution to the equation x2 - 4=5x explain why or why not?
Eddi Din [679]

Answer:

No, 6 is not a solution to the equation x2-4=5x

Step-by-step explanation:

6(2)-4=5(6)

12-4=30

8=30

The question is basically asking if you replace x with 6, will the equation equal each other on both sides, for example 6=6 or 3.5=3 1/2. In this case the equation gives us 8=30 which means 6 would not be a solution since both sides aren't equal to one another, 30 is bigger than 8.

6 0
4 years ago
Lim x&gt;-1 x^2-x-2/x+1
antiseptic1488 [7]

Answer:

-3

Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.

7 0
4 years ago
How many people aspire to become entrepreneurs if the total is 360 people? Doctor : 65% Police : 5% Pilot : 20% ENTREPENEURS????
KatRina [158]

Answer: 36 people

Step-by-step explanation:

1. The number of people that aspire to become doctor is:

360 people*0.65=234 people

2.  The number of people that aspire to become police is:

360 people*0.05=18 people

3.  The number of people that aspire to become pilot is:

360 people*0.2=72

4. The sum of people that do not aspire to become entrepreneurs is:

234 people+18 people+72 people=324 people

5.  Therefore, the number of people that aspire to become entrepreneurs is:

360 people-324 people=36 people

5 0
3 years ago
Can someone please help me as soon as possible thanks
exis [7]
Left row 1. Supplementary 2.complementary 3 supplementary
Right row 1. Complementary 2 supplementary 3 supplementary
7 0
3 years ago
Does anyone know how to solve these? i need help!
exis [7]

1/3+5/a=2/3

5/a=1/3

5=(1/3)•a

5=a/3

15=a

7 0
3 years ago
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