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Rus_ich [418]
3 years ago
12

Write the explicit formula for the following sequence. 2, 5, 8, 11, ...

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0

Answer:

add by 3

Step-by-step explanation:

11-8=3, 8-5=3, 5-2=3

strojnjashka [21]3 years ago
5 0

Answer:

First let's first find the common difference

d = 5 - 2 = 3

First term a = 2

The formula is

U(n) = a + (n - 1)d where n is the number of terms

= 2 + (n - 1)3

= 2 + 3n - 3

= 3n - 1

Hope this helps.

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marco and suzi each mulyiplied 0.721 X 100 Marco got 7.21 for his product suiz got 72.1 for her product which student multiplied
Marianna [84]
Size got it right because it’s multiplied by 100
5 0
2 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
J2 + 7j + 12 = 0<br><br>CAN U PLEASE HELP ME!!! ​
natima [27]

Answer:

j = -3, -4

Step-by-step explanation:

j^2 + 7j + 12 = 0

(j + 3)(j + 4) = 0

j = -3, -4

3 0
3 years ago
Read 2 more answers
2+10-4-8+1=<br><br><br> This is for Mark
Lelu [443]

Answer:

1

hehe

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone please help me answer this?
Lina20 [59]
DEF = BAC : x = 15 <==

once u allign ur triangles, u will see that there is a scale factor of 1.5.
6 * 1.5 = 9

1.5(x - 5) = 15
1.5x - 7.5 = 15
1.5x = 15 + 7.5
1.5x = 22.5
x = 22.5/1.5
x = 15 <==

6 0
3 years ago
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