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natulia [17]
3 years ago
8

What is the answer please help

Mathematics
1 answer:
german3 years ago
7 0
What do you need help with? it helps us to know the question!
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Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to
saveliy_v [14]

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

5 0
2 years ago
Solve |4 - 2x| = |3x+ 2|.
andreyandreev [35.5K]

Answer:

Step-by-step explanation:4 -2x=3x +2

4-2=3x+2x

2=5x

X=2/5

5 0
2 years ago
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What do you get when you multiply 3x(8x-11)
Masteriza [31]
2.18 that will be ur answer
3 0
3 years ago
Read 2 more answers
Help I just don’t know what I’m supposed to do?
Sidana [21]
Multiple each number I think
4 0
3 years ago
The percentage 21 is of 28 is equal to the percentage 30 is of 40<br> True?<br> or false?
katovenus [111]

Answer:

False

Step-by-step explanation:

75%

21

28 5.88

21 x 28

100

= 5.88

x 100% = 75%33.3333333333%

28 - 21

21

x 100% = 33.3333333333%

5 0
2 years ago
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