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kvv77 [185]
3 years ago
6

Find the 22nd term of the following sequence: 5, 8, 11, ... 63 71 14 68

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

68 is the 22nd term of the following sequence.

<u>Step-by-step explanation:</u>

  • The given sequence is with the same common difference between the two consecutive number in the series thus it is said to be the  Arithmetic progression ( AP).
  • For finding the nth term in the AP we have a formula tn = a + (n-1) × d
  • Here a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.
  • Thus here tn = 5 + ( 22 - 1 ) × 3.
  • On subtracting we get tn = 5 + (21 ) × 3
  • On multiplying we get tn = 5 + 63
  • After adding we get tn = 68. It is the 22nd term in the given series.
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answer=24
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Given that g(x)=3x²-5x+7 find the following: <br> g(-x)
AURORKA [14]
G(x) = 3x² - 5x + 7
g(-x) = -(3x² - 5x + 7)
g(-x) = -3x² + 5x - 7

This equation cannot be solved because of a few reasons,

1. This equation didn't show that it equals to 0.
2. Even if it equals to zero, square root of a negative number cannot be solved.
(I will show you what I mean)

-3x² + 5x - 7
is the same as
3x² - 5x + 7
by shifting the equation,

for example,
1 - 3 = -2
shifting other side
2 = -1 + 3

using 3x² - 5x + 7 to solve,

Solve\ using\ the\ formular\ \ \boxed{ x= { \frac{-b \pm \sqrt{b^2-4ac} }{2a} } }
a = 3
b = -5
c = 7
x= { \frac {-(-5) \pm \sqrt{ (-5)^2-4(3)(7) } }{2(3)} }
x= { \frac {5 \pm \sqrt{-59} }{6} }

∴This equation cannot be solved.
5 0
3 years ago
Note Figure is not drawn to scale.
wolverine [178]

Answer:

your answer is...

Step-by-step explanation:

50.265482457437

I used my calculator

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2 years ago
The angles of a triangle add up to 180 degrees. The second angle is 30 degrees larger than the smallest angle. The third angle i
Rudik [331]

Answer:

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Step-by-step explanation:

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second angle = x+30

third angle = 4x

x + (x+30) + 4x = 180

6x + 30 = 180

6x = 180 - 30

6x = 150

x = 150:6

x = 50

3 0
3 years ago
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