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Shalnov [3]
3 years ago
7

Write an equation to represent the N'th term of the sequence (2,-1.-4,-7,...)

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer: a(n) = 5 - 3n

the sequence has:

a1 = 2

a2 = -1

a3 = -7

.........

we can see that: a2 - a1 = a3 - a2 = -3

=> the sequence is a  arithmetic sequence

=> the distance between the numbers is d = -3

because this sequence is a  arithmetic sequence

=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n

Step-by-step explanation:

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Step-by-step explanation:

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So:

   x + 53° + 60° = 180°  {subtract 113° from both sides}

   x = 67°

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Step-by-step explanation:

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What is the value of 1/0?
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In a batch of 100 parts, 40 are red, 50 are L-shaped and 22 are both red and L-shaped. What is probability that a part picked fr
Bogdan [553]

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Step-by-step explanation:

Let us revise some rules of probability

The addition rules are:

  • P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen  at the same time)
  • P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they  have at least one outcome in common)

∵ A batch has 100 parts

∵ 40 are red

- Probability of an event is the [even occurs/total outcomes]

∴ P(red) = \frac{40}{100}=0.4

∵ 50 are L-shaped

∴ P(L-shaped) = \frac{50}{100}=0.5

∵ 22 are both red and L-shaped

∴ P(red and L-shaped) = \frac{22}{100}=0.22

This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule

∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)

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The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Learn more:

You can learn more about the probability in brainly.com/question/2254182

#LearnwithBrainly

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3 years ago
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