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prisoha [69]
2 years ago
6

Can u please help me??

Mathematics
1 answer:
frez [133]2 years ago
3 0

Answer:

<u>Given GP:</u>

  • tₙ = (1/3)ⁿ⁻¹

<u>We see that:</u>

  • t₁ = 1, r = 1/3

<u>Sum of  n terms:</u>

  • Sₙ = t₁(1 - rⁿ)/(1 - r)
  • Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ]
  • Sₙ = 3/2 [1 - (1/3)ⁿ]
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This can be solved a couple of ways. One way is to use the Pythagorean theorem to write equations for the magnitude from the components of the forces. That is what was done in the graph here.

Another way is to use the Law of Cosines, which lets you make direct use of the angle between the vectors.
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Substituting this into the first equation, we have
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