Some one?

Option B)

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

You can try other consecutive numbers too, you will get the same common ratio

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

Lets find out the 2nd term

Substitute n = 2

Lets find out the 3rd term

Substitute n = 3

Lets find out the 4th term

Substitute n = 4

Lets find out the 5th term

Substitute n = 5

Hence, we are getting correct results!

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: