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Paraphin [41]
3 years ago
12

The nth term of a sequence is n^2 + 20.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

\large\boxed{a)\ 21,\ 24,\ 29}\\\boxed{b)\ \text{five terms}}

Step-by-step explanation:

a_n=n^2+20\\\\a)\\\\\text{Substitute}\ n=1,\ n=2\ \text{and}\ n=3\ \text{to the }\ a_n:\\\\a_1=1^2+20=1+20=21\\\\a_2=2^2+20=4+20=24\\\\a_3=3^2+20=9+20=29

b)\\\\\text{You have to solve the inequality:}\\\\n^2+20

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Write the slopes intercept form of the equation of the line through the given points.
Anika [276]
Slope intercept form
y=mx+b
m=slope
b=yintercept

slope for the line passing through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

given
(2,-2) and (2,-3)
slope=(-3-(-2))/(2-2)=(-1)/0=undefined

y=undefinedx
this means that the equation is x=something
we see
(x,y)
(2,-2)
(2,-3)
x=2 is the equation
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8 0
3 years ago
What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1
andrey2020 [161]

The slope is the number with the letter x

The slope would be -10

The y intercept is the number at the end of the equation.

The y intercept is 1

5 0
4 years ago
Read 2 more answers
2 1/5 + 1 3/5 = ??? Plz help
jok3333 [9.3K]

Answer:

3 \frac{4}{5}

Step-by-step explanation:

1) Add the whole numbers first.

3  + \frac{1}{5}  +  \frac{3}{5}

2) Join the denominators.

3 +  \frac{1 + 3}{5}

3) Simplify.

3 \frac{4}{5}

hence, the answer is 3 4/5.

5 0
2 years ago
PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

7 0
3 years ago
If 7 - 1 is 6 then what would it be if you multiply it by 11700 and subtract by 5000?
steposvetlana [31]

Answer: 65200

7 - 1 = 6 x 11700 = 70200 - 5000 = 65200

8 0
2 years ago
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