Geometric Series

Question 1

How many squares are on the chessboard? ⇒ 64

Revolt · Accepted Answer

PENDING

Question 2

How many pennies are on each square? A = B = C = D = E = F = G = H =

Revolt · Accepted Answer

1; 2; 4; 8; 16; 32; 64; 128

Question 3

The total number of pennies on Row 1 is: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 =

Revolt · Accepted Answer

255

Question 4

How else can the sequence for Row 1 be written? Notice:Square A: 1 penny = 20 Square B: 2 pennies = 21 Square C: 4 pennies = 22How many pennies would be on the square labeled H?

Revolt · Accepted Answer

27

Question 5

The sequence formed is geometric, with

Revolt · Accepted Answer

1; 2

Question 6

Which formula can be used to sum the first n terms of a geometric sequence?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-06-11-25-05-task/mc001-2.jpg

Question 7

Which of the following is the total number of pennies on Rows 1-4 (the first 32 squares)?

Revolt · Accepted Answer

232 – 1

Question 8

Square 33 is the first square in Row 5, the first square of the second half of the chessboard.How many pennies are on square 33? 2^31✔ 2^322^33

Revolt · Accepted Answer

✔ 2^32

Question 9

The last square of the chessboard is square 64.How many pennies are on square 64? 2^612^62✔ 2^63

Revolt · Accepted Answer

✔ 2^63

Question 10

Which summation represents the total number of pennies on the chessboard?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-06-11-25-10-task/mc001-1.jpg

Geometric Series Answers

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