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True [87]
3 years ago
5

Write the explicit formula for the arithmetic sequence. 2, -2, -6, -10, -14, ...

Mathematics
2 answers:
cluponka [151]3 years ago
7 0

Answer:

B)an = 6 - 4n

Step-by-step explanation:Explicit Formula:

Explicit Formula: an = a1 + (n – 1)d

a1 = 2, d = -4

an = 2 + (n – 1)(-4) = 6 - 4n

goblinko [34]3 years ago
6 0
Given from the question
arithmetic sequence
a₁ = 2
a₂ = -2
a₃ = -6
and so on..

First, find the difference of the sequence
d = a₂ - a₁
d = -2 - 2
d = -4

Second, built the formula
General formula
an = a₁ + d(n - 1)

plug the numbers to the general formula
an = a₁ + d(n - 1)
an = 2 -4(n - 1)
an = 2 - 4n + 4
an = 2 + 4 - 4n
an = 6 - 4n

The answer is option B
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Answer:

A. 5

B. 6

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2 years ago
Whatbis the missing numerator of [2]5/6=?/6
Eva8 [605]

Answer:

10

Step-by-step explanation:

2* 5/6 = x/6

10/6 = x/6

Since the denominators are the same, the numerators are the same

x=10

5 0
3 years ago
Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks
Sladkaya [172]
After the 3rd pick we have: 4 white, 3 red and 8 black marbles.
The probability that the 4th marble is black is:
P ( Black ) = 8 / 15 = 0.5333
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P ( Red or Black ) = 10 / 14 = 5 / 7 = 0.7143
6 0
3 years ago
Given: m∠ABC = m∠CBD Prove: Ray B C bisects ∠ABD. 3 lines extend from point B. One line extends to point A, another to C, and an
insens350 [35]

Answer:

a: given

b: definition of congruent

c: definition of bisect

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
HOW DO I FIND QR<br><br> PLEASE HELP
Paul [167]

Solution: For finding QR we need to apply Pythagoras Theorem

What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

  • (Hypotenuse)² = (Adjacent)² + (Opposite)²

  • (PR)² = (QR)² + (PQ)²

  • (5x - 2)² = (QR)² + (3x - 1)²

  • (QR)² = (5x - 2)² - (3x - 1)²

After factorising both of them we get

  • (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)

  • (QR)² = 25x² - 20x + 4 - 9x² + 6x - 1

  • (QR)² = 16x² - 14x + 3

  • QR = √(16x² - 14x + 3)

So, QR is √(16x² - 14x + 3)

8 0
3 years ago
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