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Zolol [24]
3 years ago
7

Arrange the steps in correct order to show that the sum, over the set of people at a party, of the number of people a person has

shaken hands with, is even. Assume that no one shakes his or her own hand.
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

86

Step-by-step explanation:

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Pleasee helppp insert two arithnetic means between -5 and 1
Salsk061 [2.6K]

Answer:

a₂ = -3

a₃  = -1

Step-by-step explanation:

We have to  insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

  • a₄ = 1
  • a₁ = -5

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d    

1  + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

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a₂ = a₁ + (2-1)d

a₂ = -5 + d

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a₂  = -3

a₃ = a₁ + (3-1)d

a₃  = -5 + 2d

a₃  = -5 + 2(2)   ∵ d = 2

a₃  = -5 + 4

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Thus,

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2 years ago
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