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iragen [17]
3 years ago
8

Solve the equation 20 equals negative d + 16....

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

d = -4

Step-by-step explanation:

20 = -d + 16

Isolate d

20-16 = -d

4 = -d    divide both sides by (-1)

-4 = d

d = -4    (variable on left side is standard)

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Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→1 1 − x + l
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\displaystyle\lim_{x\to1}\frac{1-x+\ln x}{1+\cos5\pi x}

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Step-by-step explanation:

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Effectus [21]

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d  

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

  • -8 = a₁ + (2-1) × 5
  • -13 = a₁
  • a₆ = -13 + (6-1) × 5
  • a₆ = 12

For the second part, we have :

  • aₙ = -4 + (n-1)×3
  • aₙ = -4 + 3n -3
  • aₙ = 3n-7

For the third part, we have :

  • a₁=14 ; d=-6
  • aₙ = 14 + (n-1)×(-6)
  • aₙ = -6n + 20

For the fourth part, we have :

  • aₙ = 14 + (15-1)×(-6)
  • aₙ = -70
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