There are 8 rows and 8 columns, or 64 squares
on a chessboard. Suppose you place 1 penny on
Row 1 Column A, 2 pennies on Row 1 Column
B, 4 pennies on Row 1 Column C, and so on ...
How many pennies in Row 1?
How many pennies in Row 1-4?
How many pennies on the entire chessboard?

255

4,294,967,295

18,446,744,073,709,551,615

Step-by-step explanation:

Geometric Sequence

Each term of a geometric sequence is obtained by multiplying (or dividing) the previous term by a constant number called common ratio (r). The recursive formula for each term n is

And the general formula is

for n>=1

We place 1 penny on the first cell (square) (row 1, column A). That is the value of a1=1. Now each new cell will have double pennies as much the previous cell. The common ratio is r=2. Thus, the following general formula gives us the number of pennies on the cell n

This gives us the sequence 1,2,4,8,16,32,...,

To get the sum of n terms, we notice the sum forms the sequence 1, 3, 7, 15, 31, 63,... which we can transform as

2-1, 4-1, 8-1, 16-1, 32-1, 64-1,...

Or equivalently

The formula for the sum of n terms is, then

Now we are ready to answer the questions

Row 1 has n=8 cells, thus

The first 4 rows contain 4*8=32 cells, thus

Here n=64

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

can i have brainliest