Based on what we know a function to be today, what did euler mean by an analytic expression?
a. an expression formed with many variables and no numbers
b. an expression formed with many numbers and no variables
c. an expression formed from operations such as addition, multiplication, powers, and roots
d. an expression formed using only multiplication of a variable and a number

Option: C is the correct answer.

      C. an expression formed from operations such as addition, multiplication, powers, and roots.

Analytic expression--

It is a mathematical expression which is composed of variables, numbers , symbols and arithmetic operators.

Also, a equation is formed with the help of two analytic expressions which are equivalent.

            Hence, the answer is:

                Option: C

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 ! ~