Geometric Series

Question 1

How many squares are on the chessboard?

Revolt · Accepted Answer

204

Question 2

A = B = C = D = E = F = G = H =

Revolt · Accepted Answer

Part 1: 1; Part 2: 2; Part 3: 4; Part 4: 8; Part 5: 16; Part 6: 32; Part 7: 64; Part 8: 128

Question 3

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

C: 27

Question 4

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

Revolt · Accepted Answer

B:

Question 5

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

Revolt · Accepted Answer

A: 232 – 1

Question 6

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? 2^312^322^33

Revolt · Accepted Answer

B: 2^32

Question 7

The last square of the chessboard is square 64.How many pennies are on square 64? 2^612^622^63

Revolt · Accepted Answer

C: 2^63

Question 8

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

Revolt · Accepted Answer

A:

Question 9

Question 9

Revolt · Accepted Answer

2

Question 10

How many pennies are on the nth square?

Revolt · Accepted Answer

D: 2n – 1

Geometric Series Answers

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