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Dennis_Churaev [7]
3 years ago
9

1. The explicit formula an = 2–5(n-1) represents an arithmetic sequence. Write the recursive

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

a_n=2,\:a_n=a_{n-1}-5

Step-by-step explanation:

If you map the sequence out, you get the following values:

a = 1, a(n) = 2

a = 2, a(n) = -3

a = 3, a(n) = -8

As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.

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4 years ago
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Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

6 0
3 years ago
Name three pairs that have 5 as there greatest common factor
Hitman42 [59]
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HELPP URGENT!
ollegr [7]

Answer:

Step-by-step explanation:

It’s B

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What's the answer to all of these questions
Minchanka [31]
1 = 1

2=1.125

3=0.375

4= not enough information

5= 0.916
3 0
3 years ago
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