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  1. Gas to liquid (condensation)
  2. Liquid to solid (freezing)
  3. Gas to solid (desposition)
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14y ago

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Find three consecutive terms of a geometric sequence such that their some is 35 and their product is 1000. Show all of the steps?

Let the three consecutive terms of the geometric sequence be a, ar, and ar^2. Then, we have: a + ar + ar^2 = 35 (1) a * ar * ar^2 = 1000 (2) From equation (2), we get: a^3 * r^3 = 1000 ar = 10 Substituting ar = 10 in equation (1), we get: a + 10 + 10r = 35 a + r = 25/2 Solving for a and r, we get: a = 5/2 - sqrt(65)/2 r = 5/2 + sqrt(65)/2 Therefore, the three consecutive terms of the geometric sequence are: a ≈ -7.37, ar ≈ -18.53, and ar^2 ≈ -46.34. I hope this helps! Let me know if you have any other questions.


How many syllables does linear have?

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