Consider the sequence:

5, 7, 11, 19,

write an explicit definition that defines the sequence:

a_n = 2n + 3

a_n = 3n + 2

a_n = 3n^2

a_n = 2^n + 3

  a_n = 2^n + 3

Step-by-step explanation:

The first differences have a geometric progression, so the explicit definition will be an exponential function. (It cannot be modeled by a linear or quadratic function.) The above answer is the only choice that is an exponential function.

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First differences are ...

  (7-5=)2, 4, 8, 16

Step-by-step explanation:

The given sequence = 5, 7, 11, 19, 35,....

Here , it cam be observe that the difference between the terms is not common but can be expressed as power of 2.

We can write the terms of the sequence as

Then , the required explicit definition that defines the sequence will be

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option