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guajiro [1.7K]
1 year ago
15

Write an equation for the nth term of the arithmetic sequence 8, 3, -2, -7,... Find the 9th term of the sequence.

Mathematics
1 answer:
enot [183]1 year ago
8 0

Step-by-step explanation:

1) the difference betwee the terms given is 3-8=-2-3= -5, then

2) for n-th term: aₙ=8-5(n-1);

3) for the 9-th term: a₉=8-5*8=-32.

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Help please thank you if u do!
dmitriy555 [2]
I think d but i might be wrong :( sorry
7 0
3 years ago
Read 2 more answers
What is 0.08 divided by 1.44
hammer [34]
0.08 divided by 1.44 is 0.055555556
6 0
3 years ago
What is the limit of f (×) as x approaches - infinty
tatyana61 [14]
If the degree of numerator and denominator are equal, then limit will be leading coefficient of numerator divided by the leading coefficient of denominator.

So then the limit would be 3/1 = 3.

Alternatively,

\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}=\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}\cdot\dfrac{1/x^2}{1/x^2}=\lim_{x\to\infty}\dfrac{3+\frac6{x^2}}{1-\frac4{x^2}} = \dfrac{3+0}{1-0}=\boxed{3}

Hope this helps.
5 0
3 years ago
How can I tell, when doing synthetic division, if the binomial is<br> a FACTOR of the dividend?
Alecsey [184]

If you get 0 as the last value in the bottom row, then the binomial is a factor of the dividend.

Let's say the binomial is of the form (x-k) and it multiplies with some other polynomial q(x) to get p(x), so,

p(x) = (x-k)*q(x)

If you plug in x = k, then,

p(k) = (k-k)*q(k)

p(k) = 0

The input x = k leads to the output y = 0. Therefore, if (x-k) is a factor of p(x), then x = k is a root of p(x).

It turns out that the last value in the bottom row of a synthetic division table is the remainder after long division. By the remainder theorem, p(k) = r where r is the remainder after dividing p(x) by (x-k). If r = 0, then (x-k) is a factor, p(k) = 0, and x = k is a root.

5 0
3 years ago
What is the expanded notation fraction of 810.435
ipn [44]

Answer:

810.435 =

 800  

+ 10  

+ 0  

+   0.4

+   0.03

+   0.005

3 0
3 years ago
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