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Anastaziya [24]
3 years ago
5

Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to

represent the sequence. (c) Find the 15th term in the sequence.
Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

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

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Answer:

41 1/6 is the answer lets do it step by step

Step-by-step explanation:

You are usually taught to multiply the improper fractions and simplify the result.

.. (38/3)*(13/4) = (38/4)*(13/3)

.. = (19/2)*(13/3)

.. = (19*13)/6

.. = 247/6

.. = 41 1/6

You can also multiply the parts.

.. (12 2/3)*(3 1/4) = 12*3 + 12*(1/4) +(2/3)*3 +(2/3)*(1/4)

.. = 36 +3 +2 +1/6

.. = 41 1/6

hope this helps:D

8 0
3 years ago
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The probability of landing on the 4 spinners divided into four equal parts will be P=25%

<h3>What is probability? </h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-

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So the probability will be given by:-

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Her average work day was 3.3 hours.
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Free_Kalibri [48]

Answer:

See below

Step-by-step explanation:

images attached showing all working

a) The possible values of X are as follows

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