Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Answer:
For an inground pool, a patio area ranges between $3 and $40 per square foot. That wide range depends largely on the materials you use to build the space.
Para una piscina enterrada, el área de un patio varía entre $ 3 y $ 40 por pie cuadrado. Esa amplia gama depende en gran medida de los materiales que utilice para construir el espacio.
Step-by-step explanation:
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Have you got your answer yet?
Based on Diego's normal usage of his phone, if the battery is at 75%, the phone will not last the whole trip.
<h3>How long will the phone battery last?</h3>
First find out how long each percentage of battery life lasts:
= 15 / 100
= 0.15 hours
If Diego is going on a 12 hour trip with 75%, the length of time it would last is:
= 0.15 x 75
= 11.25 hours
This is less than the 12 hours required so the phone will not last the whole trip.
Rest of question:
At 100%, the battery can go for 15 hours.
Find out more on rate of use at brainly.com/question/16140581.
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Answer: Yes
Step-by-step explanation: hope it helps
