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Amanda [17]
3 years ago
9

A sequence of numbers a1, a2, a3, . . . is defined as follows: a1 = 3, a2 = 5, and every term in the sequence after a2 is the pr

oduct of all terms in the sequence preceding it, e.g., a3 = (a1)(a2) and a4 = (a1)(a2)(a3). If an = t and n > 2, what is the value of an+2 in terms of t ?
(A) 4t (B) t^2 (C) t^3 (D) t^4 (E) t^8
Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Answer:

  (D)  t^4

Step-by-step explanation:

You have defined ...

  a3 = a2·a1

  a4 = a3·(a2·a1) = a3²

  a5 = a4·(a3·a2·a1) = a4² = (a3²)² = a3⁴

Then if a3 = t, a5 = t⁴

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The<br> 10. A jet flies at an altitude of 52,800 feet.<br> What is the height of the jet in miles?
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H(t)=-0.2t^2+2t models the height in feet of a ball that is kicked into the air where t is given as time, in seconds. After how
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To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
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Answers:              maximum height = 5 ft
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            time it will reach the ground = 10 s
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