Ask Question
21 December, 03:00

A balloon is released from a height of 10 feet. The balloon climbs an additional 70% of its previous height as each minute passes. Identify the geometric sequence that identifies the height at the fourth minute in bold (to the nearest tenth).

+3
Answers (2)
  1. 21 December, 05:15
    0
    The initial height of the balloon is 10 feet which then increases by 70% to (10 * 1.7) = 17 feet, then to (17 * 1.7) = 28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧ (n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r = 1.7, to get the height in the fourth minute it means n = 5 (for the first term there is 0 minutes, such that for 0 minutes n = 1)

    Thus, 10 * 1.7 ∧ 4 = 83.521 feet.

    Therefore, the answer is 83.521 feet
  2. 21 December, 05:47
    0
    By the given scenario above and the condition that the height is increased by 70% every minute. The equation that would relate the number and the time, we have the equation,

    H = (Hi) (1.70) ^ (t)

    Substituting the known values,

    H2 = (10 ft) * (1.70^4)

    H2 = 83.521 ft

    Answer: 83.521 ft
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A balloon is released from a height of 10 feet. The balloon climbs an additional 70% of its previous height as each minute passes. Identify ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers