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Andru [333]
2 years ago
7

A sequence of numbers is shown below :

Mathematics
2 answers:
olchik [2.2K]2 years ago
5 0
Because you are addict 4 to each number
1+4=5 (5 is the second number)
5+4=9 (9 is the third number)
And so on
The closest number by adding 4’s only is 93, but keeping the same rule (x+4) you won’t reach EXACTLY 95
Molodets [167]2 years ago
3 0

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

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The difference of twenty-one and eight times a number n is thiry-five
nalin [4]

Answer:

n=7

Step-by-step explanation:

difference means subtraction so:

8n - 21= 35

8n=35+21

8n= 56

n= 56÷8

n=7

8 0
2 years ago
Find the limit, if it exists (picture below)
valentinak56 [21]

Answer:

c. \frac{1}{2 \sqrt{7} }

Step-by-step explanation:

When plugging in zero into the given equation:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} =  \frac{0}{0}

Answer is in indeterminate form = use L'Hospital's Rule:

(Derivative of the top / Derivative of the bottom)

\lim_{x \rightarrow 0}  \frac{ \frac{1}{2} (x + 7)^{ \frac{-1}{2}} - 0 }{1}

Rearranged equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }

Plug zero back into equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }  =  \frac{1}{2 \sqrt{0 + 7} } =  \frac{1}{2 \sqrt{7} }

Answer:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} = \frac{1}{2 \sqrt{7} }

5 0
3 years ago
A number p is less than 6 and greater than 2
DENIUS [597]
P can be a range of numbers from 3 to 5.

3 0
3 years ago
Read 2 more answers
Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence
noname [10]
There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the n-th term in the sequence:

\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}
\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1

for n\ge0.

So the generating function for this sequence might be

G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?
4 0
3 years ago
What is the length of AB? Round your answer to the nearest
const2013 [10]
23’3 because I went over the test and I got it correct I’m pretty sure (sorry if I’m wrong I just went with the internet :()
8 0
3 years ago
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