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IgorC [24]
3 years ago
12

What are the first five terms of the sequence given by the formula an = 4n + 1?

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

Answer:

<em>5,9,13,17,21</em>

Step-by-step explanation:

We can the values in "n"

a(1)=4(1)+1

a(1)=5

a(2)=4(2)+1

a(2)=9

a(3)=4(3)+1

a(3)=13

a(4)=4(4)+1

a(4)=17

a(5)=4(5)+1

a(5)=21

As you can see, each value consecutively increases by 4, this is also known as the common difference (d).

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e              =    ?
                                    x
Keep in mind that y=e     and y = ln x are inverse functions of one another.
  ln 5
e       ,  we can drop both the "e" and the "ln 5."  We are left with 5 (answer).
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Alternatively, we could take the ln of both sides of y = e

which will result in ln y = (ln 5) ln e.  Note that ln e = 1 (these two functions are inverses of one another).

Then we are left with ln y = ln 5.  Dropping the "ln" operator from both sides,

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