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Mathematics

1 answer:

Allushta [10]3 years ago

4 0

Answer: c

Step-by-step explanation:

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What is the 52nd term of the sequence below?

VladimirAG [237]

Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

In this case a=-38 and d=3 so

a(n)=-38+3(n-1) which we can simplify to

a(n)=-38+3n-3

a(n)=3n-41, so the 52nd term is:

a(52)=3(52)-41

a(52)=156-41

a(52)=115

3 0

3 years ago

Please help me! I need this done in 10 mins.

swat32

Answer:

I'm pretty sure the answer is 14m

Step-by-step explanation:

All you have to do is add the numbers together.

Hope this helps!

7 0

3 years ago

Read 2 more answers

IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.

Pavlova-9 [17]

Check the picture below.

since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.

$\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6$