2 years ago

Find an explicit formula for the geometric sequence 1/2,-4, 32,-256, .. a(n) =?

Mathematics

1 answer:

Travka [436]2 years ago

7 0

The explicit formula for this arithmetic sequence is A(n)=1/2•(-8)^(n-1)

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turned in 6
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A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)

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Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

$\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt$

$\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt$

$= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}$

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$= 220.7333$

Answer: 221

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