Aboard is made up of 9 squares. a certain number of pennies is placed in each square, following a geometric sequence. the first square has 1 penny, the second has 2 pennies, the third has 4 pennies, etc. when every square is filled, how many pennies will be used in total? a 512 b 511 256 d 81

B) 511

Step-by-step explanation:

1. How many pennies are in the last square:

Sequence: # of pennies = 2^(box # - 1)

Plug in: # = 2⁸

Solve: # of pennies in box 9 = 256

2. Process of elimination:

Not C or D, since the total must be greater than 256.

So the answer is B, not A, since 2⁰ + 2¹ ... 2⁷ = 2⁸ + 1.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.