Consider the first five terms of the sequence 3, 15, 75, 375, 1875, … If the sequence defines a function, what is a reasonable domain and range of the function?

Step-by-step explanation:

Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.

So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule . In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.

Therefore, a reasonable domain is all natural numbers.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~