Respuesta :
Geometric sequences have the same ratio between consecutive numbers. The number of coins on E, F, G, and H are 16, 32, 64, 128, and 256.
What is a geometric sequence?
A geometric sequence is a series of numbers where the ratio between two consecutive numbers is the same.
As we can see that the number of coins in each column of row one is increasing by a factor of 2 towards the right, therefore, the number of coins on each square can be given as,
[tex]\text{Number of coins} = 2^n[/tex]
where n is the count of the column from the right.
Therefore,
A = 1
B = 2
C = 3
and so on, using the same, the number of coins on D, E, F, G, and H are,
[tex]A = 2^1=2\\B= 2^2 = 4\\C = 2^3 =8\\D = 2^4 = 16\\E = 2^5=32\\F = 2^6=64\\G=2^7= 128\\H=2^8 = 256[/tex]
Hence, the number of coins on A, B, C, D, E, F, G, and H are 1, 2, 4, 8, 16, 32, 64, 128, and 256.
Learn more about Geometric sequence:
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