Since computers were invented, computational speed has multiplied by a factor of 4 about every three years. If a typical computer operates with a computational speed s today, write an expression for the speed at which you can expect an equivalent computer to operate after x three-year periods.

Question

Mathematics

Jackie

6 April, 23:16

Since computers were invented, computational speed has multiplied by a factor of 4 about every three years. If a typical computer operates with a computational speed s today, write an expression for the speed at which you can expect an equivalent computer to operate after x three-year periods.

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Crane · Answer 1

Given that computational speed multiplies by a factor of 4 about every three years.

For computational speed today = s

Computational speed after 1 three-year period = s * 4 = s * 4^1

Computational speed after 2 three-year periods = s * 4 * 4 = s * (4^2)

Computational speed after 3 three-year periods = s * 4 * 4 * 4 = s * (4^3)

Computational speed after x three-year periods = s * (4^x)